Solving One Step Inequalities

This video tutorial covers solving one-step inequalities, similar to one-step equations. It explains how to isolate the variable using inverse operations such as addition, subtraction, multiplication, and division. The tutorial includes examples and demonstrates how to graph solutions on a number line. Viewers are encouraged to practice solving inequalities and graphing their solutions.

What is the first step to solve the equation x + 3 = 12?

• Subtract 3 from x

• Add 3 to 12

• Subtract 3 from 12

• Multiply x by 3

If x - 2 > 6, what operation is performed to isolate x?

• Subtract 2 from 6

• Divide x by 2

• Add 2 to 6

• Multiply x by 2

What type of number line symbol represents x > 8?

• Open circle at 9

• Solid dot at 9

• Open circle at 8

• Solid dot at 8

What is the result of solving 3x ≤ 24?

• x ≤ 6

• x ≤ 7

• x ≤ 9

• x ≤ 8

How do you solve x / 4 < 5?

• Multiply x by 20

• Divide x by 4

• Multiply x by 4

• Multiply x by 5

What is the correct graph representation for x ≤ 8?

• Open circle at 8 with arrow to the left

• Solid dot at 8 with arrow to the left

• Open circle at 8 with arrow to the right

• Solid dot at 8 with arrow to the right

What does an open circle on a number line indicate?

• x is more than the number

• x is less than the number

• x is not equal to the number

• x is exactly equal to the number

For the inequality x - 2 ≥ 5, what is the solution for x?

• x ≥ 2

• x ≥ 3

• x ≥ 7

• x ≥ 5

If 5x ≤ 35, what is the value of x?

• x ≤ 8

• x ≤ 7

• x ≤ 6

• x ≤ 5

How is x isolated in the inequality x / 3 > 2?

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 3 to both sides

• Divide both sides by 3