Exploring Multi Step Inequalities

What is the first step in solving the inequality -4y < 42?

• Add 22 to both sides

• Multiply both sides by -4

• Subtract 22 from both sides

• Divide both sides by 4

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

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

How is the solution y > -10.5 represented on a number line?

• Closed circle at -10.5, shade to the right

• Closed circle at -10.5, shade to the left

• Open circle at -10.5, shade to the right

• Open circle at -10.5, shade to the left

What is the first step in solving the inequality 2/3x ≥ -8?

• Divide both sides by 2/3

• Multiply both sides by 2/3

• Subtract 11 from both sides

• Add 11 to both sides

What is the reciprocal of 2/3?

• 1/2

• 2/3

• 3/2

• 3/1

How is the solution x ≥ -27 represented on a number line?

• Open circle at -27, shade to the left

• Closed circle at -27, shade to the right

• Open circle at -27, shade to the right

• Closed circle at -27, shade to the left

What is the first step in solving the inequality 7x + 11 > 9x - 3?

• Add 7x to both sides

• Add 11 to both sides

• Subtract 11 from both sides

• Subtract 7x from both sides

After isolating the variable, what is the solution to the inequality 7 > x?

• x > 7

• x ≥ 7

• x < 7

• x ≤ 7

What is the first step in solving the inequality -5y - 20 ≥ 3y - 12?

• Subtract 20 from both sides

• Add 20 to both sides

• Subtract 5y from both sides

• Add 5y to both sides

How is the solution y ≤ 1 represented on a number line?

• Closed circle at 1, shade to the left

• Open circle at 1, shade to the right

• Closed circle at 1, shade to the right

• Open circle at 1, shade to the left