Solving Two Step Inequalities Challenge

The video tutorial explains how to solve two-step linear inequalities in one variable. It provides two examples: the first involves solving and graphing the inequality -9 + 4x > 23, and the second involves solving and graphing 46 - 5x ≤ 21. The tutorial covers the steps of undoing addition or subtraction, followed by undoing multiplication or division, and emphasizes the rule of flipping the inequality when dividing by a negative number. The video concludes with graphing the solutions on a number line.

What is the first step in solving two-step linear inequalities?

• Graph the solution

• Flip the inequality

• Undo the addition or subtraction

• Undo the multiplication or division

In the inequality -9 + 4x > 23, what should be added to both sides first?

• 23

• 9

• 4

• -9

What is the result of 23 + 9 in the first example?

• 34

• 32

• 36

• 30

What is the rule for division in inequalities when dividing by a negative number?

• Subtract the same number from both sides

• Keep the inequality the same

• Flip the inequality

• Add the same number to both sides

In the first example, what is the final value of x?

• x > 7

• x > 9

• x > 8

• x > 6

How is the solution x > 8 represented on the number line?

• Closed circle at 8, shading to the right

• Open circle at 8, shading to the right

• Closed circle at 8, shading to the left

• Open circle at 8, shading to the left

In the second example, what operation is used to undo the addition of 46?

• Division

• Multiplication

• Addition

• Subtraction

What is the result of 21 - 46 in the second example?

• -22

• -23

• -24

• -25

What is the final value of x in the second example?

• x ≥ 4

• x ≥ 6

• x ≥ 5

• x ≥ 7

How is the solution x ≥ 5 represented on the number line?

• Closed circle at 5, shading to the right

• Open circle at 5, shading to the right

• Closed circle at 5, shading to the left

• Open circle at 5, shading to the left