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Oksi-84 [34.3K]
2 years ago
10

PLEASE HELP! Which ordered pairs are solutions to the inequality y-4x (greater than or equal to) -5? Select each correct answer

(-2,1) (-4,2) (1,-1) (4,0) (5,-2)
Mathematics
1 answer:
Wittaler [7]2 years ago
8 0

(-2, 1), (-4, 2) and (1, -1) are solutions to given inequality y-4x (greater than or equal to) -5

<u>Solution:</u>

Given, inequality is y – 4x ≥ - 5

We have to find the correct answers from given options

<em><u>We have to check option by option. </u></em>

Now, (-2, 1) ⇒ 1 – 4(-2) ≥ - 5 ⇒ 1 + 8 ≥ -5 ⇒ 9 ≥ -5 ⇒ correct answer.

Now, (-4, 2) ⇒ 2 – 4(-4) ≥ -5 ⇒ 2 + 16 ≥ - 5 ⇒ 18 ≥ - 5 ⇒ correct answer

Now, (1, -1) ⇒ -1 – 4(1) ≥ - 5 ⇒ -1 – 4 ≥ - 5 ⇒ -5 ≥ -5 ⇒ correct answer

Now, (4, 0) ⇒ 0 – 4(4) ≥ - 5 ⇒ -16 ≥ -5 ⇒ wrong answer

Now, (5, -2) ⇒ -2 – 4(5) ≥ - 5 ⇒ -2 – 20 ≥ -5 ⇒ -22 ≥ -5 ⇒ wrong answer

Hence, (-2, 1), (-4, 2) and (1, -1) are solutions to given inequality.

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