Answered

Which ordered pairs make the inequality true?


3x – y ≤ –6


Choose all answers that are correct.

(Points : 1)

(–4, 2)

(–1, 5)

(2, –3)

(4, 5)

Verified Answer :

naǫ

\((-4,2) \\ x=-4 \\ y=2 \\ \Downarrow \\ 3 \times (-4)-2 \leq -6 \\ -12-2 \leq -6 \\ -14 \leq -6 \\ true \\ \\ (-1,5) \\ x=-1 \\ y=5 \\ \Downarrow \\ 3 \times (-1)-5 \leq -6 \\ -3-5 \leq -6 \\ -8 \leq -6 \\ true \\ \\ (2,-3) \\ x=2 \\ y=-3 \\ \Downarrow \\ 3 \times 2 - (-3) \leq -6 \\ 6+3 \leq -6 \\ 9 \leq -6 \\ not \ true\)

\((4,5) \\ x=4 \\ y=5 \\ \Downarrow \\ 3 \times 4-5 \leq -6 \\ 12-5 \leq -6 \\ 7 \leq -6 \\ not \ true\)

The ordered pairs (-4,2) and (-1,5) make the inequality true.

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