Question

question 1 of 10
which point is a solution to ( y leq 4x + 5 )?

a. ( (0, -2) )
b. ( (0, 10) )
c. ( (-4, 0) )
d. ( (-6, 4) )

Explanation:

Step1: Test Point A (0,-2)

Substitute $x=0, y=-2$ into $y \leq 4x+5$:
$-2 \leq 4(0)+5 \implies -2 \leq 5$ (True)

Step2: Test Point B (0,10)

Substitute $x=0, y=10$ into $y \leq 4x+5$:
$10 \leq 4(0)+5 \implies 10 \leq 5$ (False)

Step3: Test Point C (-4,0)

Substitute $x=-4, y=0$ into $y \leq 4x+5$:
$0 \leq 4(-4)+5 \implies 0 \leq -11$ (False)

Step4: Test Point D (-6,4)

Substitute $x=-6, y=4$ into $y \leq 4x+5$:
$4 \leq 4(-6)+5 \implies 4 \leq -19$ (False)

Answer:

A. (0, -2)