Understanding Two-Step Inequalities

What is the key difference when solving inequalities compared to equations?

• There is no difference in the method.

• You reverse the inequality symbol when adding or subtracting.

• You must use a different set of numbers.

• You reverse the inequality symbol when multiplying or dividing by a negative number.

What is the first step in solving the inequality 6x - 7 ≥ 35?

• Subtract 7 from both sides

• Multiply both sides by 6

• Divide both sides by 6

• Add 7 to both sides

After adding 7 to both sides in the inequality 6x - 7 ≥ 35, what is the next step?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

• Divide both sides by 6

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Add 1 to both sides

• Subtract 1 from both sides

• Reverse the inequality symbol

• Do nothing different

In the inequality W over -4 + 3 ≥ -6, what is the first step to isolate W?

• Multiply both sides by -4

• Add 3 to both sides

• Divide both sides by -4

• Subtract 3 from both sides

What is the final solution for the inequality -5(x + 9) < 30 after solving?

• x < 5

• x > 5

• x > -5

• x < -5

After simplifying the inequality 7x + 32 - 9x ≤ 27 - 3, what is the simplified form?

• 32 - 2x ≤ 24

• 32 - 2x ≤ 14

• -2x + 32 ≤ 24

• -2x + 32 ≤ 14

When simplifying before solving, what should you look for in the inequality?

• Inequality symbols to reverse

• Terms to multiply

• Terms to divide

• Like terms to combine

• A number line with a closed circle on 2 and shading to the left

• A number line with a closed circle on 2 and shading to the right

• A number line with an open circle on 2 and shading to the left

• A number line with an open circle on 2 and shading to the right