which points are solutions to the linear inequality ( y < 0.5x + 2 )? select three options.\n( (-3,-2) )\n(…

Explanation:

Step1: Substitute ((-3,-2)) into (y < 0.5x+2)

Substitute (x=-3) and (y = -2) into the inequality: (-2<0.5\times(-3)+2) (-2 < -1.5 + 2) (-2<0.5) (True)

Step2: Substitute ((-2,1)) into (y < 0.5x+2)

Substitute (x = -2) and (y=1) into the inequality: (1<0.5\times(-2)+2) (1 < -1 + 2) (1<1) (False)

Step3: Substitute ((-1,-2)) into (y < 0.5x+2)

Substitute (x=-1) and (y=-2) into the inequality: (-2<0.5\times(-1)+2) (-2 < -0.5+2) (-2 < 1.5) (True)

Step4: Substitute ((-1,2)) into (y < 0.5x+2)

Substitute (x=-1) and (y = 2) into the inequality: (2<0.5\times(-1)+2) (2 < -0.5 + 2) (2<1.5) (False)

Step5: Substitute ((1,-2)) into (y < 0.5x+2)

Substitute (x = 1) and (y=-2) into the inequality: (-2<0.5\times1+2) (-2 < 0.5+2) (-2<2.5) (True)

Answer:

((-3,-2)), ((-1,-2)), ((1,-2))