Exploring Compound Inequalities in Algebra 2

What is the first step in solving the left inequality 4v + 18 ≤ -12B - 14?

• Multiply both sides by -1

• Add 14 to both sides

• Divide both sides by 4

• Subtract 18 from both sides

When dividing by a negative number in an inequality, what must you remember to do?

• Flip the inequality sign

• Multiply both sides by -1

• Add the same number to both sides

• Subtract the same number from both sides

What is the solution for the compound inequality -2 ≤ b ≤ -4?

• b ≤ -4 or b ≥ -2

• b ≥ -4 and b ≤ -2

• -4 ≤ b ≤ -2

• -2 ≤ b ≤ 4

What does it mean if there is no intersection in an 'and' compound inequality?

• The solution is zero

• There is a unique solution

• The solution is all real numbers

• There is no solution

In the inequality 7p - 13 ≤ 11, what is the value of p?

• p ≤ 11

• p ≥ 3

• p ≥ -2

• p ≤ -3

What is the solution for the compound inequality P ≤ 11 and P < -3?

• P ≥ 11

• P > -3

• P ≤ 11

• P < -3

What is the first step in solving the inequality 5b + 10 ≤ -4v - 17?

• Multiply both sides by -1

• Add 4v to both sides

• Divide both sides by 5

• Subtract 10 from both sides

What is the solution for the inequality R ≤ -7?

• R ≥ -7

• R < -7

• R ≤ -7

• R > -7

What does it mean if 0 ≤ 20 in an inequality?

• The solution is zero

• There is no solution

• The solution is all real numbers

• The solution is positive numbers only

What is the solution for the inequality X + 18 ≥ 8X + 4?

• X > 2

• X < 2

• X ≥ 2

• X ≤ 2