Solving Inequalities with Negative Numbers

What is the first step in solving inequalities involving negative numbers?

• Subtract a negative number from both sides

• Focus on isolating the variable

• Multiply both sides by a positive number

• Add a positive number to both sides

When solving -3x ≥ 18, what operation is used to isolate x?

• Add 3

• Subtract 3

• Divide by -3

• Multiply by 3

Why do we flip the inequality sign when dividing by a negative number?

• To simplify the expression

• To change the direction of the inequality

• To ensure the inequality remains true

• To make the equation easier to solve

How is the solution x ≤ -6 represented on a number line?

• Open circle at -6, shade to the right

• Closed circle at -6, shade to the left

• Open circle at -6, shade to the left

• Closed circle at -6, shade to the right

What value is used to verify the solution of -3x ≥ 18?

• 0

• -10

• -5

• 5

What operation is used to solve m/-4 < 2?

• Multiply by -4

• Divide by -4

• Add 4

• Multiply by 4

How is the solution m > -8 represented on a number line?

• Open circle at -8, shade to the right

• Closed circle at -8, shade to the left

• Open circle at -8, shade to the left

• Closed circle at -8, shade to the right

What number is used to verify the solution of m/-4 < 2?

• -1

• 0

• 2

• 1

In the problem -5x > -10, why does the inequality sign change?

• Because we add a positive number

• Because we divide by a negative number

• Because we multiply by a positive number

• Because we subtract a negative number

In the problem 5x > -10, why does the inequality sign remain the same?

• Because we divide by a positive number

• Because we add a negative number

• Because we multiply by a negative number

• Because we subtract a positive number