Answer:
Graph C represents [tex]\frac{5}{2}[/tex] x - y < 3 correctly
Step-by-step explanation:
Let us revise some important notes about the solutions of an inequality
∵ The inequality is [tex]\frac{5}{2}[/tex] x - y < 3
- Put the inequality in the form y less than or greater than m x + b
∵ [tex]\frac{5}{2}[/tex] x - y < 3
- Add y to both sides
∴ [tex]\frac{5}{2}[/tex] x < 3 + y
- Subtract 3 from both sides
∴ [tex]\frac{5}{2}[/tex] x - 3 < y
- That means y is greater than [tex]\frac{5}{2}[/tex] x - 3
∴ y > [tex]\frac{5}{2}[/tex] x - 3
∵ The sign of the inequality is >
∴ The line is dashed
∴ The shading is above the line
- Look to the answer to find the correct answer
∵ In figure C, the line is dashed
∵ The shading is above the line
- C only has the two conditions
∴ Graph C represents [tex]\frac{5}{2}[/tex] x - y < 3 correctly
