Explain why x = 5 makes 4x − 1 ≤ 19 true but not 4x − 1 < 19

Step-by-step explanation:

We can find the inequalities whether they are valid for x = 5 or not.

if 4x - 1 ≤ 19

Then for x = 5 ⇒ 4 × 5 - 1 ≤ 19

                            20 - 1 ≤ 19

                            19 ≤ 19

Since 19 = 19 so inequality is true for x = 5

Now 4x - 1 < 19 for x = 5

        4 × 5 - 1 < 19

         20 - 1 < 19

         19 < 19

It's not valid because 19 is not less than 19 .