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

Answer:

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

Step-by-step 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.

∴$4\times x + 8$ = $4x+8$

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 $0\leq 4x+8\leq 12$.