Question

Create a compound inequality for the following word problem. The sum of four times a number and eight is between zero and twelve

Answer 1

`0\leq 4x+8\leq 12`

Explanation:

Compound inequality contain at least 2 or more inequality which is separated by "either" or "or". The end result has to satisfy both the inequality to be correct.

Now, creating compound inequality.

Lets assume a number "x" to create inequality.

As per given word problem: The sum of four times a number and eight.

∴
`4* x + 8` =
`4x+8`

Next, as given the equation has to be between zero and twelve.

∴
`0\leq 4x+8\leq 12`

∴ We have the inequality for word problem is
`0\leq 4x+8\leq 12`.