Question

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

Answer 1

$\bold{Answer}$

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

$\bold{Explanation}$

• $\bold{Solve: \ -5\left(x+7\right)$

$\bold{-------------------}$

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

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

• $\bold{Simplify}$

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

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

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

• $\bold{Simplify}$

$\bold{x+7>2}$

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

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

• $\bold{Simplify}$

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

$\boxed{\bold{Eclipsed}}$

Answer 2

Answer:

x > -5

Step-by-step 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