Solving Inequalities
2x - 4 > -6 and 3x + 1 < 13
-1 < x < 4
2(x - 3) > 2x - 8
Identity
3x - 5 > 2x + x - 7
Identity
7 < -3x + 1 < 13
-4 < x < -2
Solve the inequality. -1 + 5x>-26 AND 7x - 2≤12
-5 < x ≤ 2
Solve the inequality. -50 < 7x + 6 < -8
-8 < x < -2
Solve the inequality. 8x+8 ≥-64 AND -7-8x ≥-79
-9 ≤ x ≤ 9
-2 < -3x + 7 < 4
1 < x < 3
5 < 3x + 2 < 11
1 < x < 3
37 < 3x + 7 < 43
10 < x < 12
Write an inequality: All real numbers that are less than 6 and greater than 2.
2 < x < 6
Translate into an inequality: Twice the sum of x and 8 is greater than -36.
2(x + 8) > -36
Translate into an inequality: Four more than the product of 3 and x is less than 40.
3x + 4 < 40
2.2x + 0.4 < 2(1.1x - 0.1)
No Solution
6(x+3) < 5x + 18 + x
No Solution
Write an inequality: All real numbers that are less than -1 or greater than 4.
x < -1 or x > 4
3x + 2 ≥ 5 or 7 + 3x < 2x + 6
x < -1 or x ≥ 1
3(x + 12) < 0
x < -12
-2x + 7 > 3 or 3x - 4 > 5
x < 2 or x > 3
4 - 0.5x < 33 - x
x < 58
The lowest elevation in Mexico is -10 meters at Laguna Salada. Write an inequality that describes all elevations in Mexico that are greater than the lowest elevation.
x > -10
5x - 8x - 4 < -4 + 3x
x > 0
4 - 2x > 7 - 3x
x > 3
7 - 3x > 1 or 5x + 2 > 17
x > 3 or x < 2
3x - 7 > x + 1 or 4x - 5 < 3x - 3
x > 4 or x < 2
6x - 15 > 9 or 10x > 84
x > 4 or x > 8.4
2x - 3 > 7
x > 5
9x - 5x > 20 or 8x > - 36
x > 5 or x < -4.5
Solve the inequality. 7x - 5 ≥ 65 OR -3x - 2 ≥ -2
x ≥ 10 OR x ≤ 0
Solve the inequality. 2x + 7 ≥ 27 OR 3 + 3x ≤ 30
x ≥ 10 OR x ≤ 9
