alexcornnugget alexcornnugget
  • 28-04-2020
  • Mathematics
contestada

Solve for x to make the inequality true

Solve for x to make the inequality true class=

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 28-04-2020

Answer: [tex]x>-17[/tex]

Step-by-step explanation:

[tex]\frac{x}{-4} +9<2[/tex]

Multiply by -4 on both sides.

[tex](-4)(\frac{x}{-4} )+9<2(-4)[/tex]

[tex]x+9>-8[/tex]

When you multiply or divide by negative numbers, the inequality sign changes direction.

Subtract 9 on both sides to isolate x.

[tex]-9+x+9>-8-9\\x>-17[/tex]

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