Solving One-Step Add/Subtract Inequalities

The video tutorial covers solving inequalities using addition and subtraction. It explains how to isolate variables, perform inverse operations, and graph solutions on a number line. The tutorial includes examples with both positive and negative numbers, emphasizing the importance of rewriting subtraction as addition when dealing with integers. The lesson concludes with a recap of the steps involved in solving inequalities.

What is the first step in solving the inequality x + 8 > 10?

• Divide both sides by 8

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by 8

After isolating the variable in the inequality x + 8 > 10, what is the solution?

• x > 10

• x > 2

• x > 8

• x > 18

What type of circle is used on the number line for the inequality x > 2?

• Closed circle at 0

• Open circle at 0

• Open circle at 2

• Closed circle at 2

Which direction do you shade on the number line for the inequality x > 2?

• To the right

• To the left

• Both directions

• No shading needed

In the inequality -12 ≥ y - 9, what is the first step to isolate the variable y?

• Divide both sides by 9

• Subtract 9 from both sides

• Add 9 to both sides

• Multiply both sides by 9

What is the solution to the inequality -12 ≥ y - 9 after isolating y?

• y ≤ 3

• y ≥ 3

• y ≤ -3

• y ≥ -3

For the inequality n - (-7) > 3, what should you do first?

• Rewrite as n + 7 > 3

• Rewrite as n - 3 > 7

• Rewrite as n + 3 > 7

• Rewrite as n - 7 > 3

What is the solution to the inequality n + 7 > 3 after isolating n?

• n > -4

• n > 4

• n > -10

• n > 10

What is the final step in solving an inequality?

• Graph the inequality

• Isolate the variable

• Do the inverse operation

• Check the solution

When solving inequalities with integers, what should you do with subtraction?

• Rewrite as subtraction

• Rewrite as multiplication

• Rewrite as division

• Rewrite as addition