Question

d. he can purchase a ticket for $15.65.

1. solve the inequality, then graph on the number line

$-34 - 3x > -5x$

Explanation:

Step1: Add $5x$ to both sides

$-34 - 3x + 5x > -5x + 5x$
$-34 + 2x > 0$

Step2: Add 34 to both sides

$-34 + 2x + 34 > 0 + 34$
$2x > 34$

Step3: Divide by 2 on both sides

$\frac{2x}{2} > \frac{34}{2}$
$x > 17$

Step4: Graph on number line

Draw an open circle at 17 on the number line, then draw an arrow pointing to the right (towards larger numbers) to represent all values greater than 17.

Answer:

The solution to the inequality is $x > 17$.
For the number line graph: Mark an open circle at 17, and shade/arrow all values to the right of 17.