Question

Solve the inequality.

–5x – 7 < 28
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x < - 21/5

x > 21/5

x > –7

x < –7

Answer 1

Answer:

$\boxed{\boxed{\sf x>-7}}$

Step-by-step explanation:

$\sf -5x-7<28$

Add 7 to both sides:

• $\sf -5x-7+7<28+7$

• $\sf -5x<35$

Multiply both sides by -1:

• $\sf \left(-5x\right)\left(-1\right)>35\left(-1\right)$

• $\sf 5x>-35$

Divide both sides by 5:

• $\sf \cfrac{5x}{5}>\cfrac{-35}{5}$

• $\sf x>-7$

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