which points are solutions to the linear inequality y < 0.5x + 2? select three options. (-3,-2) (-2,1)…
which points are solutions to the linear inequality y < 0.5x + 2? select three options. (-3,-2) (-2,1) (-1,-2) (-1,2) (1,-2)
Answer
Explanation:
Step1: Substitute (-3,-2)
Substitute (x = - 3) and (y=-2) into (y<0.5x + 2). We get (-2<0.5\times(-3)+2), which simplifies to (-2<-1.5 + 2), then (-2<0.5), this is True.
Step2: Substitute (-2,1)
Substitute (x=-2) and (y = 1) into (y<0.5x + 2). We get (1<0.5\times(-2)+2), which simplifies to (1<-1 + 2), then (1<1), this is False.
Step3: Substitute (-1,-2)
Substitute (x=-1) and (y=-2) into (y<0.5x + 2). We get (-2<0.5\times(-1)+2), which simplifies to (-2<-0.5 + 2), then (-2<1.5), this is True.
Step4: Substitute (-1,2)
Substitute (x=-1) and (y = 2) into (y<0.5x + 2). We get (2<0.5\times(-1)+2), which simplifies to (2<-0.5 + 2), then (2<1.5), this is False.
Step5: Substitute (1,-2)
Substitute (x = 1) and (y=-2) into (y<0.5x + 2). We get (-2<0.5\times1+2), which simplifies to (-2<0.5 + 2), then (-2<2.5), this is True.
Answer:
(-3,-2), (-1,-2), (1,-2)