Question

which ordered pair is a solution to the system of inequalities?
$y \geq 2x$
$y < x + 4$
a. (1, 5)
b. (2, 3)
c. (2, 5)
d. (1, 6)

Explanation:

Step1: Test Option A (1,5)

Check $y \geq 2x$: $5 \geq 2(1) \Rightarrow 5\geq2$ (true). Check $y < x+4$: $5 <1+4 \Rightarrow5<5$ (false). Reject A.

Step2: Test Option B (2,3)

Check $y \geq2x$: $3\geq2(2)\Rightarrow3\geq4$ (false). Reject B.

Step3: Test Option C (2,5)

Check $y \geq2x$: $5\geq2(2)\Rightarrow5\geq4$ (true). Check $y

Step4: Test Option D (1,6)

Check $y

Answer:

C. (2, 5)