Solving Algebraic Inequalities with One Sign

This video tutorial explains how to solve inequalities, similar to solving equations but with key differences. It covers simple inequalities, handling negative numbers, and more complex examples. The video also demonstrates alternative methods for solving inequalities and concludes with a final example.

What is the first step to isolate x in the inequality x + 3 < 8?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

When solving inequalities, what must you do if you multiply or divide both sides by a negative number?

• Keep the inequality sign the same

• Swap the inequality sign

• Subtract the same number from both sides

• Add the same number to both sides

In the inequality -x/2 < 5, what is the result after multiplying both sides by -2?

• x < -10

• x < 10

• x > -10

• x > 10

What is the first step in solving the inequality 7 + 2x ≥ 13?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by 2

• Divide both sides by 2

After subtracting 7 from both sides in the inequality 7 + 2x ≥ 13, what is the next step?

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by 2

• Add 2 to both sides

Which of the following is a correct method to solve the inequality -3x ≤ -15?

• Divide both sides by -3

• Multiply both sides by -3

• Subtract 3 from both sides

• Add 3 to both sides

What is the result of dividing both sides of the inequality -3x ≤ -15 by -3?

• x ≤ -5

• x ≥ 5

• x ≤ 5

• x ≥ -5

In the inequality 5 ≤ -10 + 3x, what is the first step to isolate x?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 10 from both sides

• Add 10 to both sides

What is the final step in solving the inequality 5 ≤ -10 + 3x?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

When solving the inequality 3x + 7 > -4, what is the first step?

• Add x to both sides

• Subtract x from both sides

• Subtract 7 from both sides

• Add 7 to both sides