Solving One-Step Inequalities and Graphing Solutions

This video tutorial covers solving inequalities using inverse operations, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number. It provides step-by-step examples of solving inequalities through addition, subtraction, multiplication, and division, and demonstrates how to graph solutions on a number line. The tutorial also includes advanced examples to reinforce understanding.

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Square both sides

• Flip the inequality symbol

• Do nothing to the inequality symbol

• Add 1 to both sides

If you have the inequality x + 2 < 6, what is the solution for x?

• x < 6

• x < 4

• x < 2

• x < 8

What is the result of solving the inequality 2x < 6 for x?

• x < 4

• x < 2

• x < 3

• x < 5

When solving the inequality x/(-2) < 6, what is the correct transformation of the inequality?

• x > -12

• x < -12

• x > 12

• x < 12

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Multiply both sides by -1

• Subtract 1 from both sides

• Flip the inequality symbol

• Add 1 to both sides

On a number line, how is the inequality x < -2 represented when x can also be -2?

• Closed circle at -2, shading to the left

• Open circle at -2, shading to the right

• Open circle at -2, shading to the left

• Closed circle at -2, shading to the right

If you are solving the inequality x + 5 ≤ 3, what is the correct solution?

• x ≤ 2

• x ≤ 8

• x ≤ -2

• x ≤ -8

In the inequality -2x < 6, what is the solution for x after solving?

• x < -3

• x > -3

• x < 3

• x > 3

What is the solution for the inequality -4.2m > 6 rounded to the nearest tenth?

• m > 1.4

• m < 1.4

• m > -1.4

• m < -1.4

How is the inequality a/3 ≤ 12 solved for a?

• a ≤ 12

• a ≤ 36

• a ≤ 24

• a ≤ 48