Question

the solutions to the inequality ( y leq 2x - 4 ) are shaded on the graph. which point is a solution?
( \bigcirc ) ( (-1, 1) )
( \bigcirc ) ( (1, -1) )
( \bigcirc ) ( (3, 2) )
( \bigcirc ) ( (2, 3) )

Explanation:

Step1: Test point (-1,1)

Substitute $x=-1, y=1$ into $y \leq 2x - 4$:
$1 \leq 2(-1) - 4$
$1 \leq -6$ → False

Step2: Test point (1,-1)

Substitute $x=1, y=-1$ into $y \leq 2x - 4$:
$-1 \leq 2(1) - 4$
$-1 \leq -2$ → False

Step3: Test point (3,2)

Substitute $x=3, y=2$ into $y \leq 2x - 4$:
$2 \leq 2(3) - 4$
$2 \leq 2$ → True

Step4: Test point (2,3)

Substitute $x=2, y=3$ into $y \leq 2x - 4$:
$3 \leq 2(2) - 4$
$3 \leq 0$ → False

Answer:

(3, 2)