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