The Solutions of an Inequality

The video tutorial explains inequalities and their symbols, focusing on how to find solutions by substituting values into inequalities. It demonstrates testing values to determine if they satisfy the inequality 3x > 9, showing that 4 and 5 are solutions. The lesson concludes with identifying solutions from a number set.

Which of the following is NOT an inequality symbol?

• Not equal

• Greater than

• Equal to

• Less than

What is the first step in determining if a number is a solution to an inequality?

• Add the number to both sides

• Substitute the number into the inequality

• Multiply the number by the inequality

• Divide the inequality by the number

If 3x > 9, which of the following numbers is a solution?

• 4

• 3

• 2

• 1

Why is the number 3 not a solution to the inequality 3x > 9?

• Because 3 times 3 equals 15, which is greater than 9

• Because 3 times 3 equals 12, which is greater than 9

• Because 3 times 3 equals 6, which is not greater than 9

• Because 3 times 3 equals 9, which is not greater than 9

Which numbers are solutions to the inequality 3x > 9?

• 5 and 6

• 4 and 5

• 3 and 4

• 2 and 3