Question

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?

Answer 1

Solving for x : 64-68

Explanation:

Let us solve for x

So:

Let us solve the inequality for x.

We have 17 is being subtracted in the middle.

Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get:

175+17 ≤ 3x-17+17 ≤ 187+17

192 ≤ 3x ≤ 204.

Dividing by 3 so we can isolate the x

192/3 ≤ 3x/3 ≤ 204/3.

64 ≤ x ≤ 68.

Therefore:

The range height for the height of an Indy car driver is 64-68 inches.

Hope this helps.

Answer 2

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

Then:
`175+17\leq3x\leq187+17 \\ \\ \Rightarrow192\leq3x\leq204 \\ \\ \Rightarrow (192)/(3) \leq x\leq (204)/(3) \\ \\ \Rightarrow 64\leq x \leq 68`

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