practice interpreting two - variable linear inequalities. which of the points are solutions to the…

practice interpreting two - variable linear inequalities. which of the points are solutions to the inequality? check all that apply. y < 2x + 3 (-3,3) (-2,-2) (-1,1) (0,1) (2,5)

practice interpreting two - variable linear inequalities. which of the points are solutions to the inequality? check all that apply. y < 2x + 3 (-3,3) (-2,-2) (-1,1) (0,1) (2,5)

Answer

Explanation:

Step1: Substitute (-3,3)

Substitute (x = - 3) and (y = 3) into (y<2x + 3). We get (3<2\times(-3)+3), which simplifies to (3<-6 + 3) or (3<-3), false.

Step2: Substitute (-2,-2)

Substitute (x=-2) and (y = - 2) into (y<2x + 3). We get (-2<2\times(-2)+3), which simplifies to (-2<-4 + 3) or (-2<-1), true.

Step3: Substitute (-1,1)

Substitute (x=-1) and (y = 1) into (y<2x + 3). We get (1<2\times(-1)+3), which simplifies to (1<-2 + 3) or (1<1), false.

Step4: Substitute (0,1)

Substitute (x = 0) and (y = 1) into (y<2x + 3). We get (1<2\times0+3), which simplifies to (1<3), true.

Step5: Substitute (2,5)

Substitute (x = 2) and (y = 5) into (y<2x + 3). We get (5<2\times2+3), which simplifies to (5<4 + 3) or (5<7), true.

Answer:

(-2,-2), (0,1), (2,5)