Graphing Inequalities on a Number Line
Check all that are solutions of the inequality.
-1.2, 0, -1
Graph the inequality and check the solution. Gia has more than 50 cents. (g > 0.50). Check all that apply.
Draw an open circle at 0.50, Shade all numbers to the right of 0.50, 1 is shaded, so substitute 1 in for the variable to check the graph of the solution.
An inequality represents an infinite amount of numbers smaller than 8. Which inequality represents the situation?
x < 8
The students at the engineering conference ate more than 20 pizzas. The inequality represents the situation. Which graph represents the inequality?
image a.
The number of pounds of wheat produced is greater than 500. The inequality x greater-than 500 represents the situation. Which statement best represents the solutions of the inequality?
infinite rational values of x greater than 500
The submarine was below sea level. Find the solutions of the inequality and complete the statements. The solutions of the inequality include all numbers____. The solutions of the inequality include all ____ numbers. There are _______ solutions of the inequality.
less than 0, negative, an infinite number of
Selena is graphing the inequality x less-than negative 2. She begins by drawing a number line and placing an open circle at -2. Which could be Selena's next step?
shading the number line to the left of the open circle
Graph the inequality and check the solution. Waseme swam more than 100 laps. l > 100
Draw an open circle at 100, Shade all numbers to the right of 100, 150 is shaded, so substitute 150 in for the variable to check the graph of the solution.
Graph the solution of the inequality. Marco has less than $25 in his bank account. b < 25
Draw an open circle at 25, Shade all numbers smaller than 25, Shade all numbers to the left of 25.
Graham is graphing the inequality x > 4. He draws a number line and shades over the numbers that are greater than 4. What must Graham do to complete his representation of x > 4.
Draw an open circle at 4.
Graham is graphing the inequality x greater-than 4. He draws a number line and shades over the numbers that are greater than 4. What must Graham do to complete his representation of x greater-than 4?
Draw an open circle at 4.
Geraldine is graphing the inequality x less-than 6. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.
Draw an open circle at 6, Shade all numbers less than 6, Shade all numbers to the left of 6.
The King Cobra is a roller coaster. It sells more than 900 tickets each day. What inequality can you write to show the ticket sales, t? How would you graph the solutions of the inequality?
Draw an open circle at 900. Shade all numbers greater than 900. Chack the graph of the solution by substituting 100. An example would be that t 100, which is greater than 90
Find the solutions of the inequality and complete the statements. The solutions of the inequality include all numbers ___________. There are _____ solutions of the inequality.
Greater than 40, an infinite number of
The temperature is below 2 degrees Fahrenheit. t < 2
Image 2.
Larry graphs the inequality x < - 5 using the steps below. Step 1: Draw a number line, and place an open circle at -5. Step 2: Shade to the left of -5 to represent less than -5. Step 3: Check work by substitution: X = -5, -5 < -5 false. Larry concludes that he must have shaded the number line in the wrong direction. Which best describes the situation?
Larry's graph is correct. He should have checked his work using a number to the left of -5.
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour. Her work is shown below. s > 270
The number line should be shaded to the left, The inequality should be s < 270.
Which statements describe the solutions to the inequality x less-than negative 20? Check all that apply.
There are infinite solutions, Each solution is negative, The solutions contain rational number values.
Choose the inequality that has that solution shown on the graph.
a > -1 1/2
Which best describes the solutions to the inequality x greater than 10?
a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10
Jaxon's mother spends more than 2 hours cleaning the house. The inequality x > 2 represents the situation. Which graph represents the inequality?
a.
Which best explains whether 9 is a solution to the inequality x > 9
a. It is not a solution because 9 is not greater than 9.
Selena is graphing the inequality x < - 2. She begins by drawing a number line and placing an open circle at -2. Which could be Selena's next step?
a. shading the number line to the left of the open circle
Which best describes the numbers satisfying the inequality x < 7.
all numbers less than 7
Which best describes the numbers satisfying the inequality x less-than 7?
all numbers less than 7
Mr. Watson earns more than $24 per hour. The inequality x greater-than 24 represents the situation. Which statement best represents the solutions of the inequality?
all rational numbers greater than 24
Select the statement that represents all the solutions of the inequality. (d < 7)
all rational numbers less than 7
There are more than 30 students in Benedict's math class. Graph and check the solutions of the inequality. Then complete the statements. Draw ____ circle at ___. Shade all numbers _______. Check the graph of the solution by substituting __ in for the variable.
an open, 30, greater than 30, 40
Juliet practiced more than 1 1/2 hours. Select the statement that represents all the solutions of the inequality.
b. all rational numbers greater than
Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster. She writes the inequality as h > 48. How can she graph the solutions of the inequality?
c. Plot an open circle at 48 and shade right.
The total number of running yards in a football game was less than 100. The inequality x less-than 100 represents the situation. Which graph represents the inequality?
image 2.
There are more than 3 gallons of gas in Berk's car. g > 3
image 3