Solving Compound Inequalities Effectively

What is the first step in solving compound inequalities?

• Ignore the inequality signs

• Combine the inequalities into one

• Break the compound inequality into two separate inequalities

• Graph the inequalities immediately

When solving an inequality, what must you remember to do if you multiply or divide by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Reverse the inequality symbol

• Keep the inequality symbol the same

In the example 2x + 1 < 13, what is the first step to isolate x?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

After solving 2x + 1 < 13, what is the value of x?

• x < 6

• x <= 6

• x > 6

• x >= 6

In the inequality x - 5 >= -5, what operation is performed to isolate x?

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

What is the solution set for the inequality 3x + 7 between -5 and 10?

• -5 < x < 10

• -5 <= x <= 10

• -4 < x < 1

• -4 <= x <= 1

In the inequality 3x + 7 <= 10, what is the first step to isolate x?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the solution for the inequality 2x + 4 < 10?

• x > 3

• x >= 3

• x <= 3

• x < 3

In the inequality 2x + 4 > -6, what is the first step to isolate x?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the solution set for the inequality 2x + 4 between -6 and 10?

• -5 <= x <= 3

• -5 < x < 3

• -6 < x < 10

• -6 <= x <= 10