Solving and Graphing Inequalities | Math Defined with Mrs. C | 7.EE.B.4

The video tutorial covers solving and graphing inequalities, including examples with greater than, less than, and equal to symbols. It explains how to isolate variables, graph solutions on a number line, and check solutions. The tutorial also addresses common mistakes, especially when variables are on the right side, and includes examples with fractions.

What is the solution to the inequality X - 3 > -7?

• X > -4

• X ≤ -4

• X < -4

• X = -4

How is the graph of W ≥ 12 represented on a number line?

• Closed circle at 12 with an arrow to the right

• Closed circle at 12 with an arrow to the left

• Open circle at 12 with an arrow to the right

• Open circle at 12 with an arrow to the left

What does an open circle on a number line indicate?

• The inequality is greater than or equal to

• The number is included in the solution

• The number is not included in the solution

• The inequality is an equation

What is the solution to the inequality H + 4 < -5.5?

• H ≥ -9.5

• H = -9.5

• H < -9.5

• H > -9.5

How do you graph R ≤ 10 on a number line?

• Closed circle at 10 with an arrow to the left

• Open circle at 10 with an arrow to the right

• Open circle at 10 with an arrow to the left

• Closed circle at 10 with an arrow to the right

What is the solution to the inequality T ≥ 1 3/4?

• T = 1 3/4

• T < 1 3/4

• T ≥ 1 3/4

• T > 1 3/4

What is a common mistake when graphing inequalities with the variable on the right side?

• Drawing the arrow in the wrong direction

• Using a closed circle instead of an open circle

• Switching the inequality sign incorrectly

• Forgetting to include the variable in the solution