Question

Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -2x + 2

Choices:
(-4, 0)
(-3, 2)
(2, -1)
(0, 6)

Answer 1

Plug in each point into both the inequalities and if the statement is true then those points satisfy the inequality.

Answer 2

ok

Answer 3

I'll do the first one for you.

(-4, 0)

y > x + 4
y > -2x + 2

0 > -4 + 4
0 > 0. This is false. Zero is not greater than zero

0 > -2(-4) + 2
0 > -8 + 2
0 > -6 This is true.

However, (-4, 0) Does NOT satisfy both inequalities; only one.

Answer 4

ok thanks.