kingdyrique1
Answered

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This graph shows the solution to which inequality?

This Graph Shows The Solution To Which Inequality class=

Sagot :

Ashraf82

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

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