Question

Consider the inequality -5(x+7)<-10

Answer 1

`\bold{Answer}`

`\boxed{\bold{X \ > \ -5}}`

`\bold{Explanation}`

• 
  `\bold{Solve: \ -5\left(x+7\right)<-10}`

`\bold{-------------------}`

• 
  `\bold{Multiply \ Both \ Sides \ By \ -1 \ (Reverse \ Inequality)}`

`\bold{\left(-5\left(x+7\right)\right)\left(-1\right)>\left(-10\right)\left(-1\right)}`

• 
  `\bold{Simplify}`

`\bold{5\left(x+7\right)>10}`

• 
  `\bold{Divide \ Both \ Sides \ By \ 5}`

`\bold{(5\left(x+7\right))/(5)>(10)/(5)}`

• 
  `\bold{Simplify}`

`\bold{x+7>2}`

• 
  `\bold{Subtract \ 7 \ From \ Both \ Sides}`

`\bold{x+7-7>2-7}`

• 
  `\bold{Simplify}`

`\bold{X \ > \ -5}`

`\boxed{\bold{Eclipsed}}`

Answer 2

x > -5

Explanation:

-5(x+7)<-10

Divide each side by -5. Remember that means to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7 > 2-7

x > -5