Answer:
The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2 ⇒ D
Step-by-step explanation:
In the inequality,
- If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
- If the sign of inequality is < or >, then the line that represents it must be a dashed line
- If the sign of inequality is > or ≥, then the shaded area must be over the line
- If the sign of inequality is < or ≤, then the shaded area must be under the line
From the given graph
∵ The slope of the line = [tex]\frac{2--6}{3--3}[/tex] = [tex]\frac{2+6}{3+3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
∵ The y-intercept is (0, -2)
∵ The line is dashed and the shaded area is over the line
→ By using the 2nd and 3rd notes above, the line is dashed and
the sign of inequality is >
∴ The inequality is y > [tex]\frac{4}{3}[/tex] x - 2
∴ The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2
