Question

bridget is training for a race. she currently runs 5 miles each week and plans to increase her distance by 2 miles each week. her goal is to run more than 25 miles in a week. the situation can be represented with the inequality 2x + 5 > 25, where x is the number of weeks. how many weeks does bridget need to train to meet her goal? use the number line to graph the solution to the inequality.

Explanation:

Step1: Isolate the term with x

Subtract 5 from both sides of $2x + 5>25$.
$2x+5 - 5>25 - 5$
$2x>20$

Step2: Solve for x

Divide both sides by 2.
$\frac{2x}{2}>\frac{20}{2}$
$x > 10$

Answer:

Bridget needs to train for more than 10 weeks. On the number - line, we use an open circle at 10 (since x is strictly greater than 10, not equal to 10) and draw an arrow to the right.