Choose a test point that lies within the solution set.
C
Practice makes perfect
Looking at the answers, we see that the only difference between each of them is the inequality sign. Since the boundary line is dashed, not solid, the inequality should be strict. We are left two options.
B& y < - 3/4x+3 [0.5em]
C& y > - 3/4x+3To determine the sign, we need a test point that lies within the solution set. If the substitution of the point creates a true statement, it is the correct inequality.
Let's choose ( 4, 1). We will substitute the point into both inequalities.
Inequality
Substitute (4,1)
Simplify
B y < - 3/4x+3
1 < - 3/4( 4)+3
1 < 0 *
C y > - 3/4x+3
1 > - 3/4( 4)+3
1 > 0 ✓
Since the substitution of the test point created a true statement for the second inequality, the answer is C.
