The Solutions of an Inequality (Example)

The video tutorial explains how to determine which numbers from a given set satisfy the inequality 4x - 5 ≤ 19. It involves substituting each number into the inequality and checking if the resulting expression is true. The numbers 4, 5, and 6 are found to be solutions, while 7 is not.

What is the result when 4 is substituted into the inequality 4x - 5 ≤ 19?

• 11, which is not a solution

• 11, which is more than 19

• 11, which is equal to 19

• 11, which is less than 19

When testing the number 5 in the inequality 4x - 5 ≤ 19, what do we find?

• 15, which is equal to 19

• 15, which is less than 19

• 15, which is more than 19

• 15, which is not a solution

What conclusion can be drawn when 6 is substituted into the inequality 4x - 5 ≤ 19?

• 19, which is not a solution

• 19, which is equal to 19

• 19, which is more than 19

• 19, which is less than 19

What happens when 7 is tested in the inequality 4x - 5 ≤ 19?

• 23, which is less than 19

• 23, which is more than 19

• 23, which is equal to 19

• 23, which is a solution

Which of the following numbers is not a solution to the inequality 4x - 5 ≤ 19?

• 6

• 5

• 7

• 4