Understanding Inequalities

The video tutorial explains how to solve inequalities by applying operations to both sides. It demonstrates that adding, subtracting, multiplying, or dividing both sides by a positive value keeps the inequality true. However, when using negative values, the inequality symbol must be reversed to maintain truth. The key takeaway is the importance of reversing the inequality symbol when multiplying or dividing by a negative value.

What is the result of subtracting 2 from both sides of the inequality -5 < 10?

• -8 < 7

• -7 < 8

• -3 < 12

• -2 < 13

Tags

CCSS.6.EE.B.8

When you add 3 to both sides of the inequality -5 < 10, what is the new inequality?

• -3 < 12

• -2 < 13

• -8 < 7

• -7 < 8

Tags

CCSS.6.EE.B.8

What happens to the inequality -5 < 10 when both sides are multiplied by 4?

• -3 < 12

• -20 < 40

• -2 < 13

• -8 < 7

Tags

CCSS.6.EE.B.8

If you divide both sides of the inequality -5 < 10 by 5, what is the result?

• -3 < 12

• -1 < 2

• -2 < 13

• -8 < 7

Tags

CCSS.6.EE.B.8

What is the effect of subtracting -2 from both sides of the inequality -5 < 10?

• -3 < 12

• -7 < 8

• -2 < 13

• -8 < 7

Tags

CCSS.6.EE.B.8

What is the result of adding -3 to both sides of the inequality -5 < 10?

• -2 < 13

• -3 < 12

• -8 < 7

• -7 < 8

Tags

CCSS.6.EE.B.8

What happens to the inequality when both sides are multiplied by -4?

• The inequality remains true

• The inequality becomes true

• The inequality becomes false

• The inequality is unchanged

Tags

CCSS.6.EE.B.8

What must be done to the inequality when dividing both sides by a negative number?

• Subtract a negative number

• Add a positive number

• Multiply by a positive number

• Reverse the inequality symbol

Tags

CCSS.6.EE.B.8

What is the key rule when solving inequalities involving negative values?

• Add a positive number to both sides

• Subtract a negative number from both sides

• Multiply by a positive number

• Reverse the inequality symbol when multiplying or dividing by a negative

Tags

CCSS.6.EE.B.8

What is the result of dividing both sides of the inequality -5 < 10 by -5?

• 1 > -2

• 1 < -2

• -8 < 7

• -1 < 2

Tags

CCSS.6.EE.B.8