A case holds up to 50 CDs. Crystal has 26 CDs in the case. Identify the correct inequality and the solution to show how many more CDs Crystal can put in the case.

A) q + 26 ≤ 50; q ≤ 24
B) q − 50 ≤ 24; q ≤ 76
C) q ≤ 50 + 26; q ≤ 76
D) q + 24 ≤ 50; q ≤ 26

Respuesta :

The correct inequality and the solution is q + 26 ≤ 50; q ≤ 24. The correct option is A) q + 26 ≤ 50; q ≤ 24

Solving Linear Inequalities

From the question, we are to determine the correct inequality that shows how many more CDs Crystal can put in the case

From the given information,

A case holds up to 50 CDs, and Crystal has 26 CDs

If q represents the number of more CDs the case can hold

Then,

q + 26 ≤ 50

Now, we will solve the inequality

q + 26 ≤ 50

Subtract 26 from both sides

q + 26 -26 ≤ 50 -26

q ≤ 24

Hence, the correct inequality and the solution is q + 26 ≤ 50; q ≤ 24. The correct option is A) q + 26 ≤ 50; q ≤ 24

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