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
[tex]\bold{Answer}[/tex]
[tex]\boxed{\bold{X \ > \ -5}}[/tex]
[tex]\bold{Explanation}[/tex]
[tex]\bold{-------------------}[/tex]
[tex]\bold{\left(-5\left(x+7\right)\right)\left(-1\right)>\left(-10\right)\left(-1\right)}[/tex]
[tex]\bold{5\left(x+7\right)>10}[/tex]
[tex]\bold{\frac{5\left(x+7\right)}{5}>\frac{10}{5}}[/tex]
[tex]\bold{x+7>2}[/tex]
[tex]\bold{x+7-7>2-7}[/tex]
[tex]\bold{X \ > \ -5}[/tex]
[tex]\boxed{\bold{Eclipsed}}[/tex]
