Question

Please help.Which ordered pair is a solution to the system of inequalities

y< 3x -1

y>|x-2|

A.(3, –1)
B.(4, 4)
C.(0, 1)
D.(–2, 0)

Answer 1

substitute the points to see which one is true

example point (3,-1)

y < 3x -1
-1 < 3(3) -1
-1 < 8 true

y > {x-2}
-1 > {3-2}
-1 > 1 not true

check the other points

Answer 2

@ivettef365 I got B. would that be the right answer?

Answer 3

lets try B = (4,4)

so y < 3x -1

4 < 3(4) -1
4< 12 -1
4 < 11 true

now y > {x-2}
4 > {4-2}
4 > 2 true

correct

Answer 4

Thanks @ivettef365