Question

Which ordered pairs are solutions to the inequality y−4x≥−5 ?

Select each correct answer.

(5, −2)

(1, −1)

(−4, 2)

(4, 0)

(−2, 1)

Answer 1

(1,-1) (-4,2) (-2,1) are all correct answers because when you plug them in to the eqaution they keep the eqaution correct

Answer 2

The ordered pairs that satisfy the given inequality is required.

The points that are solutions are $(-4,2),(-2,1),(1,-1)$

The given inequality is $y-4x\geq -5$

Let us substitute each point in the inequality

$(5,-2)$

$y-4x\\ =-2-4\times 5\\ =-22\ngeq -5$

$(1,-1)$

$-1-4\times 1\\ =-5\geq -5$

$(-4,2)$

$2-4\times -4\\ =18\geq -5$

$(4,0)$

$0-4\times 4=-16\ngeq -5$

$(-2,1)$

$1-4\times -2=7\geq -5$

The points that are solutions are $(-4,2),(-2,1),(1,-1)$

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