Solving Multistep Inequalities Challenge

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

• Multiply both sides by a constant

• Add a constant to both sides

• Isolate the variable

• Subtract a constant from both sides

When solving the inequality Y / -6 < 2, what operation is performed after isolating Y?

• Add 6 to both sides

• Multiply both sides by -6

• Subtract 6 from both sides

• Divide both sides by -6

What must be done to the inequality sign when multiplying both sides by a negative number?

• Leave it unchanged

• Switch it to an equal sign

• Reverse the direction of the inequality sign

• Change it to a greater than sign

If Y > -12, which of the following values is a solution?

• -13

• -12

• 0

• -15

How is the solution Y > -12 represented on a number line?

• A closed circle at -12 with shading to the right

• An open circle at -12 with shading to the left

• An open circle at -12 with shading to the right

• A closed circle at -12 with shading to the left

What is the result of distributing 2 in the inequality 2(5X - 1) < 7 + 10X?

• 10X - 1 < 7 + 10X

• 5X - 2 < 7 + 10X

• 10X - 2 < 7 - 10X

• 10X - 2 < 7 + 10X

What does it mean if the variables cancel out and the resulting statement is true?

• No solution

• All real numbers are solutions

• Only negative numbers are solutions

• Only positive numbers are solutions

In the inequality 10X - 2 ≤ 7 + 10X, what happens when you subtract 10X from both sides?

• You get 0 ≤ 7

• You get -2 ≤ 7

• You get 10X ≤ 7

• You get -2 ≤ 0

What is the solution if the variables cancel out and the resulting statement is false?

• All real numbers

• Only positive numbers

• No solution

• Only negative numbers

What should you do if you end up with a statement like -2 > 7 while solving an inequality?

• Consider all real numbers as solutions

• Consider only positive numbers as solutions

• Consider only negative numbers as solutions

• Conclude that there is no solution