Question

This graph shows the solution to which inequality?

Answer 1

Answer:

The graph shows the solution of the inequality y > $\frac{4}{3}$ 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 = $\frac{2--6}{3--3}$ = $\frac{2+6}{3+3}$ = $\frac{8}{6}$ = $\frac{4}{3}$

∵ 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 > $\frac{4}{3}$ x - 2

∴ The graph shows the solution of the inequality y > $\frac{4}{3}$ x - 2