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mars1129 [50]
2 years ago
10

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
6 0

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

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