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Greeley [361]
4 years ago
10

Seven less than negative two times a number is greater than or equal to 41

Mathematics
1 answer:
kotegsom [21]4 years ago
4 0

Solution, -2n-7\ge \:41\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-24\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-24]\end{bmatrix}

Steps:

\mathrm{Add\:}7\mathrm{\:to\:both\:sides}, -2n-7+7\ge \:41+7

\mathrm{Simplify}, -2n\ge \:48\\\\

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}, \left(-2n\right)\left(-1\right)\le \:48\left(-1\right)

\mathrm{Simplify}, 2n\le \:-48

\mathrm{Divide\:both\:sides\:by\:}2, \frac{2n}{2}\le \frac{-48}{2}

\mathrm{Simplify}, n\le \:-24

The correct answer is n\le \:-24

I hope this helps!!!


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