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liraira [26]
3 years ago
13

Im being timedwhich number line represents the solution set for the inequality?​

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

The solution is:

-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}

The number line graph of the solution is also attached below.

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

Step-by-step explanation:

Given the inequality

-\frac{1}{2}x\ge 4

Let us solve the inequality

-\frac{1}{2}x\ge 4

Multiply both sides by -1 (reverse the inequality)

\left(-\frac{1}{2}x\right)\left(-1\right)\le \:4\left(-1\right)

Simplify

\frac{1}{2}x\le \:-4

Multiply both sides by 2

2\cdot \frac{1}{2}x\le \:2\left(-4\right)

Simplify

x\le \:-8

Thus, the solution is:

-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}

The number line graph of the solution is also attached below.

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

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