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 point (-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) or (-2<0.5), a true - statement.
Step2: Substitute point (-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) or (1<1), a false - statement.
Step3: Substitute point (-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) or (-2<1.5), a true - statement.
Step4: Substitute point (-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) or (2<1.5), a false - statement.
Step5: Substitute point (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) or (-2<2.5), a true - statement.
Answer:
(-3, -2), (-1, -2), (1, -2)