Exploring One & Two Step Inequalities

This video tutorial covers solving inequalities, including one-step and two-step problems. It explains when to flip inequality signs, how to graph solutions on a number line, and addresses complex inequality problems. The tutorial emphasizes the importance of understanding when to flip the inequality sign, particularly when multiplying or dividing by a negative number.

What is the first step in solving the inequality x + 6 ≤ 4?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

• Divide both sides by 6

When graphing the solution x ≤ -2, which direction does the arrow point?

• Upwards

• Downwards

• To the left

• To the right

What must you do to the inequality sign when you multiply or divide both sides by a negative number?

• Subtract 1 from it

• Add 1 to it

• Flip it

• Leave it unchanged

If you have the inequality -3x > 12, what is the solution for x?

• x < 4

• x < -4

• x > -4

• x > 4

In the inequality x / -5 ≥ 2, what is the correct solution for x?

• x ≤ -10

• x ≥ -10

• x ≥ 10

• x ≤ 10

Which of the following inequalities requires flipping the sign when solving?

• x + 5 < 10

• x / 4 ≤ -5

• x * 3 ≥ 9

• x / -2 > 6

What is the first step in solving the two-step inequality 3 + 4x ≤ 11?

• Subtract 3 from both sides

• Divide both sides by 4

• Add 3 to both sides

• Multiply both sides by 4

After solving the inequality 2x + 6 ≤ 18, what is the solution for x?

• x ≤ 6

• x ≥ 6

• x ≤ 12

• x ≥ 12

In the inequality (x + 5) / 3 < 4, what is the first step to isolate x?

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

What is the solution for x in the inequality x / -3 + 4 > 6?

• x > -9

• x > -6

• x < -9

• x < -6