Solving One Step Linear Inequalities with Interval Notation

The video tutorial explains how to solve and graph inequalities using interval notation. It covers two examples: solving X + 5 > 3 and graphing the solution X > -2, and solving X - 7 ≤ -3 and graphing the solution X ≤ 4. The tutorial demonstrates isolating the variable, using open and closed points on graphs, and applying interval notation to express solutions.

What is the first step in solving the inequality x + 5 > 3?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

What symbol is used to show that -2 is not included in the interval?

• Angle bracket

• Rounded parenthesis

• Curly bracket

• Square bracket

Which direction does the arrow point when graphing x > -2?

• Left

• Right

• Up

• Down

What is the correct interval notation for x > -2?

• (-2, ∞)

• [-∞, -2)

• (-∞, -2)

• [-2, ∞)

What operation is performed to isolate x in the inequality x - 7 <= -3?

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 7

What is the solution to the inequality x - 7 <= -3?

• x >= -4

• x <= -4

• x <= 4

• x >= 4

Which symbol is used to include 4 in the interval notation?

• Rounded parenthesis

• Square bracket

• Curly bracket

• Angle bracket

In which direction does the arrow point when graphing x <= 4?

• Right

• Down

• Left

• Up

What is the correct interval notation for x <= 4?

• (4, ∞)

• (-∞, 4)

• [4, ∞)

• (-∞, 4]

Which of the following values satisfies x <= 4?

• 5

• -5

• 4

• 3