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: Comprobar el punto (-3, 3)

Sustituir (x=-3) y (y = 3) en (y<2x + 3). Tenemos (3<2\times(-3)+3), es decir (3<-6 + 3), (3<-3) que es falso.

Step2: Comprobar el punto (-2,-2)

Sustituir (x=-2) y (y=-2) en (y<2x + 3). Tenemos (-2<2\times(-2)+3), es decir (-2<-4 + 3), (-2<-1) que es verdadero.

Step3: Comprobar el punto (-1,1)

Sustituir (x=-1) y (y = 1) en (y<2x+3). Tenemos (1<2\times(-1)+3), es decir (1<-2 + 3), (1<1) que es falso.

Step4: Comprobar el punto (0,1)

Sustituir (x = 0) y (y=1) en (y<2x + 3). Tenemos (1<2\times0+3), es decir (1<3) que es verdadero.

Step5: Comprobar el punto (2,5)

Sustituir (x = 2) y (y=5) en (y<2x+3). Tenemos (5<2\times2+3), es decir (5<4 + 3), (5<7) que es verdadero.

Answer:

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