Question

Check whether the given number is a solution of the inequality. $$ 4 x \leq 28 ; 7 $$

Short answer

Yes, the number 7 is a solution to the inequality \(4x \leq 28\)

Step-by-step solution

Identify the given number and the inequality

The inequality to test is \(4x \leq 28\), and the number to check in the inequality is 7.

Substitute the given number in the inequality

Replace \(x\) in the inequality with 7 to check the validity. It results in \(4 * 7 \leq 28\)

Simplify the inequality

Doing the multiplication, we get \(28 \leq 28\)

Check the validity of the simplified inequality

Since 28 is equal to 28, the inequality holds true.