Answer: B and C
Step-by-step explanation:
Substituting the coordinates of each of the points into the first inequality,
A. [tex]5 > 2(0)+3 \longrightarrow 5 > 3[/tex], so it satisfies the first inequality.
B. [tex]5 > 2(-5)+3 \longrightarrow 5 > -7[/tex], so it satisfies the first inequality.
C. [tex]4 > 2(-1)+3 \longrightarrow 4 > 1[/tex], so it satisfies the first inequality.
D. [tex]-5 > 2(0)+3 \longrightarrow -5 > 3[/tex], so it does not satisfy the first inequality.
E. [tex]-3 > 2(-3)+3 \longrightarrow -3 > -3[/tex], so it does not satisfy the first inequality.
Now, we can substitute the coordinates of options A, B, and C into the second inequality.
A. [tex]5+3(0) \leq 1 \longrightarrow 5 \leq 1[/tex], so it does not satisfy the second inequality.
B. [tex]5+3(-5) \leq 1 \longrightarrow -10 \leq 1[/tex], so it satisfies the second inequality.
C. [tex]4+3(-1) \leq 1 \longrightarrow 1 \leq 1[/tex], so it satisfies the second inequality.
So, the answers are B and C
