Question

(Pretest Unit 3) Which graph correctly represents 5/2x - y < 3 ? (Zoom in)

Answer 1

Answer:

Graph C represents  $\frac{5}{2}$ x - y < 3 correctly

Step-by-step explanation:

Let us revise some important notes about the solutions of an inequality

• If y ≥ mx + b, then the line is solid and the shaded is above the line
• If y ≤ mx + b, then the line is solid and the shaded is below the line
• If y > mx + b, then the line is dashed and the shaded is above the line
• If y < mx + b, then the line is dashed and the shaded is below the line

∵ The inequality is $\frac{5}{2}$ x - y < 3

- Put the inequality in the form y less than or greater than m x + b

∵  $\frac{5}{2}$ x - y < 3

- Add y to both sides

∴ $\frac{5}{2}$ x < 3 + y

- Subtract 3 from both sides

∴  $\frac{5}{2}$ x - 3 < y

- That means y is greater than  $\frac{5}{2}$ x - 3

∴ y >  $\frac{5}{2}$ 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  $\frac{5}{2}$ x - y < 3 correctly