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Alina [70]
3 years ago
10

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

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

\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}}

Liula [17]3 years ago
5 0

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

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