Question

Y> 2x+3

Answer 1

Answer: B and C

Step-by-step explanation:

Substituting the coordinates of each of the points into the first inequality,

A. $5 > 2(0)+3 \longrightarrow 5 > 3$, so it satisfies the first inequality.

B. $5 > 2(-5)+3 \longrightarrow 5 > -7$, so it satisfies the first inequality.

C. $4 > 2(-1)+3 \longrightarrow 4 > 1$, so it satisfies the first inequality.

D. $-5 > 2(0)+3 \longrightarrow -5 > 3$, so it does not satisfy the first inequality.

E. $-3 > 2(-3)+3 \longrightarrow -3 > -3$, so it does not satisfy the first inequality.

• Eliminate D and E.

Now, we can substitute the coordinates of options A, B, and C into the second inequality.

A. $5+3(0) \leq 1 \longrightarrow 5 \leq 1$,  so it does not satisfy the second inequality.

B. $5+3(-5) \leq 1 \longrightarrow -10 \leq 1$, so it satisfies the second inequality.

C. $4+3(-1) \leq 1 \longrightarrow 1 \leq 1$, so it satisfies the second inequality.

So, the answers are B and C