allen is running a marathon. he would like to finish the race in under 5.5 hours. he has already run 3…

allen is running a marathon. he would like to finish the race in under 5.5 hours. he has already run 3 hours. the inequality 3 + t < 5.5 represents the situation. which number line shows how much longer allen can run and still meet his goal?

allen is running a marathon. he would like to finish the race in under 5.5 hours. he has already run 3 hours. the inequality 3 + t < 5.5 represents the situation. which number line shows how much longer allen can run and still meet his goal?

Answer

Explanation:

Step1: Solve the inequality

Given $3 + t<5.5$, subtract 3 from both sides. So $3 + t-3<5.5 - 3$, which simplifies to $t < 2.5$.

Step2: Interpret on number - line

The solution $t < 2.5$ means all values of $t$ less than 2.5 satisfy the inequality. On a number - line, this is represented by an open circle at 2.5 (since 2.5 is not included in the solution) and an arrow pointing to the left.

Answer:

The first number - line (the one with an open circle at 2.5 and an arrow pointing to the left) shows how much longer Allen can run and still meet his goal.