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Answered

Solve the inequality.

–5x – 7 < 28
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x < - 21/5

x > 21/5

x > –7

x < –7

Answer :

Answer:

[tex]\boxed{\boxed{\sf x>-7}}[/tex]

Step-by-step explanation:

[tex]\sf -5x-7<28[/tex]

Add 7 to both sides:

  • [tex]\sf -5x-7+7<28+7[/tex]
  • [tex]\sf -5x<35[/tex]

Multiply both sides by -1:

  • [tex]\sf \left(-5x\right)\left(-1\right)>35\left(-1\right)[/tex]
  • [tex]\sf 5x>-35[/tex]

Divide both sides by 5:

  • [tex]\sf \cfrac{5x}{5}>\cfrac{-35}{5}[/tex]
  • [tex]\sf x>-7[/tex]

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