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Luden [163]
3 years ago
8

Solve AND graph the inequality below. −2x−4≤11

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

x\ge \:-\frac{15}{2}

The graph of the inequality is attached below.

Step-by-step explanation:

Given the inequality

-2x-4\le 11

\mathrm{Add\:}4\mathrm{\:to\:both\:sides}

-2x-4+4\le \:11+4

-2x\le \:15

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

\left(-2x\right)\left(-1\right)\ge \:15\left(-1\right)

2x\ge \:-15

\mathrm{Divide\:both\:sides\:by\:}2

\frac{2x}{2}\ge \frac{-15}{2}

x\ge \:-\frac{15}{2}

The graph of the inequality is attached below.

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We want to see which could be the possible score of Kath for the given information. We will find the inequality:

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<h3>Stating what we know:</h3>

The given information is:

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<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

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This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

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From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

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