When to Change Inequality Signs

This video tutorial explains when to switch an inequality sign in mathematical expressions. It covers three main scenarios: moving numbers across the inequality, dividing by negative numbers, and multiplying by negative numbers. Each scenario is explained with examples and practice questions to reinforce understanding. The video concludes with a recap of the key points and encourages viewers to engage with the content.

What should you do to the inequality sign when you switch the numbers from one side to the other?

• Keep the sign the same

• Change the sign

• Remove the sign

• None of the above

Tags

CCSS.6.EE.B.8

If you have the inequality 5 ≥ x and you rearrange it to x on the left, what becomes the new inequality?

• x ≤ 5

• x ≥ 5

• x = 5

• x ≠ 5

When dividing an inequality by a negative number, what must you do to the inequality sign?

• None of the above

• Multiply the sign

• Keep the sign the same

• Change the sign

Tags

CCSS.6.EE.B.8

If -2n > 20, what is n after dividing both sides by -2?

• n < -10

• n > -10

• n ≠ -10

• n = -10

Tags

CCSS.6.EE.B.8

What happens to the inequality sign when you multiply both sides of an inequality by a negative number?

• It becomes equal

• It remains unchanged

• It disappears

• It reverses

Tags

CCSS.6.EE.B.8

Solve the inequality x/(-7) ≤ 21 by multiplying both sides by -7. What is the new inequality?

• x ≠ -147

• x = -147

• x ≥ -147

• x ≤ -147

Tags

CCSS.6.EE.B.8

If n/(-8) ≤ -3, what is n after multiplying both sides by -8?

• n ≥ 24

• n ≤ 24

• n = 24

• n ≠ 24

Tags

CCSS.6.EE.B.8

Why is it necessary to switch the inequality sign when multiplying or dividing by a negative number?

• None of the above

• To maintain the truth of the inequality

• To simplify the inequality

• Because it's a mathematical rule

Tags

CCSS.6.EE.B.8

What is the result of multiplying both sides of the inequality 20 > -10 by -1?

• 20 > -10

• 20 < -10

• -20 < 10

• -20 > 10

Tags

CCSS.6.EE.B.8

Recap: When should you switch the inequality sign?

• When none of the operations affect the inequality

• When moving numbers across the inequality

• When multiplying or dividing by positive numbers

• When adding or subtracting on both sides

Tags

CCSS.6.EE.B.8