Question

The graph of y < 2x - 3 is shown.

Which set contains only points that satisfy the inequality?

A. { (3, 3) , (-4, -11) , (-1, -8) , (5, 0) }
B. { (5, 7) , (-3, -10) , (5, -7) , (-1, -4) }
C. { (-1, -10) , (5, 8) , (-4, -13) , (3, -2) }
D. { (-4, -12) , (-1, -5) , (3, 4) , (5, 6) }

Answer 1

A

Explanation:

The graph is actually

y
`\leq` 2x - 3 Points on the line are included as solutions.

(3,3) You can see that this point in on the line, so it is a solution.

(-4,-11) You cannot see this on the graph

y
`\leq` 2x -3

-11
`\leq`2(-4) - 3

-11≤-8 - 3

-11
`\leq`-11 This is a true statement, so (-4,-11) is a solution.

(-1,-8)

y
`\leq` 2x - 3

-8
`\leq`2(-1) - 3

-8
`\leq`-2-3

-8
`\leq`-5 This is a true statement, so (-1,-8) is a solution.

(5,0) You can see that this point in on the line, so it is a solution.

Helping in the name of Jesus.