Multistep Inequality

Solve the inequality

• x > 2

• x > 5

• x >15

• x > 50

Tags

CCSS.7.EE.B.4B

Solve the inequality

• x ≤ 2

• x ≤ -2

• x ≥ 2

• x ≥ -2

Solve the inequality

• x ≥ -7

• x ≤ -7

• x ≤ -15

• x ≥ -15

Tags

CCSS.7.EE.B.4B

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Tags

CCSS.7.EE.B.4B

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

You FLIP the inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Solve:
-8(x - 3) - 4x < 108

• x > -38

• x > -14

• x > -7

• x < -38

Answer explanation

To solve -8(x - 3) - 4x < 108, first distribute: -8x + 24 - 4x < 108. Combine like terms: -12x + 24 < 108. Subtract 24: -12x < 84. Divide by -12 (reverse inequality): x > -7. Thus, the correct answer is x > -7.

Which operations must we UNDO to solve this inequality?

• Subtraction, then multiplication

• Multiplication, then division

• Addition, then division.

• Addition, then subtraction

Answer explanation

To isolate x in the inequality \(\frac{x}{-6} + 20 > 4\), we first need to undo the addition of 20 by subtracting it. Then, we must undo the division by -6, which requires multiplying by -6. Thus, the correct operations to undo are addition, then division.

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Answer explanation

To solve -3 - 6(4x + 6) > -111, first simplify to -3 - 24x - 36 > -111. This leads to -24x > -72, and dividing by -24 reverses the inequality, giving x < 3. Thus, the correct answer is x < 3.

-p − 4p > -10

• p > -2

• p > 2

• p < -2

• p < 2

Answer explanation

To solve -p - 4p > -10, combine like terms to get -5p > -10. Dividing by -5 reverses the inequality, resulting in p < 2. Thus, the correct answer is p < 2.

Tags

CCSS.6.EE.B.8