MATH SOLVE

2 months ago

Q:
# An Indy car driver has to be a certain height to fit into the race car. The following inequality 175<_3x-17<_187, where x represents the height of the driver in inches. What is the range for the height of an Indy car driver?

Accepted Solution

A:

Given the inequality 175 β€ 3x - 17 β€ 187, where x represents the height of the driver in inches.

Then:[tex]175+17\leq3x\leq187+17 \\ \\ \Rightarrow192\leq3x\leq204 \\ \\ \Rightarrow \frac{192}{3} \leq x\leq \frac{204}{3} \\ \\ \Rightarrow 64\leq x \leq 68[/tex]

Therefore, the range for the height of an Indy car driver is 64 to 68.

Then:[tex]175+17\leq3x\leq187+17 \\ \\ \Rightarrow192\leq3x\leq204 \\ \\ \Rightarrow \frac{192}{3} \leq x\leq \frac{204}{3} \\ \\ \Rightarrow 64\leq x \leq 68[/tex]

Therefore, the range for the height of an Indy car driver is 64 to 68.