Question

Solve the inequality.

–5x – 7 < 28
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x < - 21/5

x > 21/5

x > –7

x < –7

Answer 1

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

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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