Question

Need quick answer :)

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The graph of 3x − 2y = −6 is shown on the grid. Which ordered pair is in the solution set of 3x − 2y ≥ −6?
A) (6, 0)
B) (−6, 0)
C) (1 ,6)
D) (−1, 6)

Answer 1

(6,0)

Explanation:

Answer 2

Option A) (6, 0)

Explanation:

we have

`3x-2y\geq -6`

Isolate the variable y

`-2y\geq -3x-6`

Divide by -2 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

`y\leq1.5x+3`

The solution of the inequality is the shaded area below the solid line

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must lie in the shaded area of the solution set

so

(6,0) ----> belong to the shaded area

(-6,0) ---> not belong to the shaded area

(1,6) --> not belong to the shaded area

(-1,6) --> not belong to the shaded area

therefore

(6,0) is in the solution set