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

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

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

• -3 < 12

• -20 < 40

• -2 < 13

• -8 < 7

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

• -3 < 12

• -1 < 2

• -2 < 13

• -8 < 7

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

• -3 < 12

• -7 < 8

• -2 < 13

• -8 < 7

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

• -2 < 13

• -3 < 12

• -8 < 7

• -7 < 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

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

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

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

• 1 > -2

• 1 < -2

• -8 < 7

• -1 < 2