Exploring Solutions to Inequalities

Mrs. Zimmerman reviews solving equations and introduces solving and graphing inequalities. The lesson covers handling inequalities with variables on the right, using multiplication and division, and solving inequalities involving fractions. Students learn to graph solutions and understand the importance of flipping inequalities when necessary.

What is the first step to solve the equation x + 26 = 47?

• Subtract 26 from both sides

• Divide both sides by 26

• Multiply both sides by 26

• Add 26 to both sides

How do you solve the inequality x - 3 > 1?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

When graphing the inequality x > 4, what type of circle is used on the number line?

• Closed circle

• Open circle

• Half-filled circle

• No circle

What must you do if the variable is on the right side of the inequality, such as in 15 ≥ 6 + h?

• Subtract the variable from both sides

• Flip the inequality sign and switch the sides

• Leave it as is

• Add the variable to both sides

How do you solve the inequality 10 ≥ z - 1?

• Multiply both sides by 1

• Subtract 1 from both sides

• Divide both sides by 1

• Add 1 to both sides

What is the first step to solve the inequality x/5 < 2?

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

In the inequality 4n ≥ 32, what operation should be performed to isolate n?

• Multiply both sides by 4

• Divide both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

How do you solve the inequality 3/2 * m > 1?

• Multiply both sides by 3/2

• Multiply both sides by 2/3

• Divide both sides by 2/3

• Divide both sides by 3/2

What is the solution to the inequality 3/5 * q ≤ 6?

• q ≥ 30

• q ≤ 30

• q ≥ 10

• q ≤ 10

When solving inequalities involving fractions, what is the equivalent operation to dividing by a fraction?

• Multiplying by the fraction

• Dividing by the reciprocal

• Multiplying by the reciprocal

• Adding the reciprocal