Question

Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:460 < 2x + 10 and 2x + 10 < 660Solve for x in the inequality, and explain what the answer represents

Answer 1

To find:

The value of x.

Solution:

The given compound inequalities are 460 < 2x + 10 and 2x + 10 < 660. Solve each separately to get the interval in which the value of x lies.

`\begin{gathered} 460<2x+10 \\ 460-10<2x \\ 450<2x \\ 225225 \end{gathered}`
`\begin{gathered} 2x+10<660 \\ 2x<650 \\ x<325 \end{gathered}`

So, from the above calculation, we have obtained that x is greater than 225 and less than 325. So, the answer is (225, 325).

The answer represents that the amount of carbs is between 225 grams and 325 grams.