Solving One Variable Inequalities Challenge

The video tutorial explains how to solve one-variable inequalities by first converting them into equations to find boundary points. It demonstrates graphing solutions on a number line using open or filled circles based on the inequality type. The tutorial also covers testing points to determine which side of the boundary point contains the solutions, using examples to illustrate the process.

What is the first step in solving a one variable inequality?

• Graphing the inequality

• Testing a point

• Solving for the boundary point

• Multiplying both sides by a constant

What do you replace the inequality symbol with when solving for the boundary point?

• A multiplication sign

• An equal sign

• A less than sign

• A greater than sign

In the first example, what is the boundary point for the inequality 4x + 7 > 19?

• 3

• 2

• 5

• 4

What type of circle is used on the number line for a 'greater than' or 'less than' inequality?

• Double circle

• Dashed circle

• Open circle

• Filled-in circle

When testing the point 0 in the first inequality, what was the result?

• True

• False

• Undefined

• Cannot be determined

In the second example, what is the boundary point for the inequality -2x + 10 ≥ 2?

• 4

• 3

• 2

• 5

What type of circle is used on the number line for a 'greater than or equal to' or 'less than or equal to' inequality?

• Double circle

• Dashed circle

• Open circle

• Filled-in circle

When testing the point 0 in the second inequality, what was the result?

• True

• False

• Undefined

• Cannot be determined

What does it mean if a tested point makes the inequality true?

• The solutions are on the opposite side of the boundary point

• The inequality needs to be rewritten

• The solutions are on the same side as the tested point

• The boundary point is incorrect

How can the solution set for the inequality -2x + 10 ≥ 2 be written?

• x > 4

• x ≤ 4

• x < 4

• x ≥ 4