Solving Two-Step Inequalities

What is the first step in solving two-step inequalities?

• Multiply or divide both sides by the coefficient of the variable

• Isolate the variable on one side

• Add or subtract a number from both sides

• Flip the inequality sign

When dividing both sides of an inequality by a negative number, what must you do?

• Add to both sides

• Flip the inequality sign

• Subtract from both sides

• Nothing special is required

What does solving a two-step inequality involve?

• Applying the quadratic formula

• Only multiplication or division

• A combination of addition or subtraction and multiplication or division

• Only addition or subtraction

If you start with subtracting a number from both sides of an inequality, what comes next?

• Flip the inequality sign

• Subtract another number

• Multiply or divide both sides by a number

• Add the same number back

What is the result of dividing both sides of an inequality by a positive number?

• The variable is eliminated

• The inequality sign flips

• The inequality becomes an equation

• The inequality sign remains the same

How do you solve an inequality that starts with adding a number to both sides?

• By subtracting the same number

• By adding another number

• By multiplying or dividing both sides by a number

• By flipping the inequality sign immediately

What is the correct sequence in solving two-step inequalities?

• Multiply, then add

• Divide, then subtract

• Add or subtract, then multiply or divide

• Flip the sign, then add or subtract

What happens to the inequality sign when multiplying both sides by a negative number?

• It disappears

• It flips to the opposite inequality

• It becomes an equal sign

• It remains unchanged

In the practice problem, what is the solution when you divide both sides by -6?

• x is less than -2

• x is less than 2

• x is greater than -2

• x is equal to -2

What is the final step in solving the practice problem involving division by 7?

• n is less than or equal to 28

• n is greater than 28

• n is equal to 28

• n is less than 28