Reversing Inequalities

When we multiply or divide an inequality by a ​ (a)   number, we have to ​reverse the inequality symbol.

• negative

• positive

• decimal

• reverse

• keep

Does the inequality sign reverse or preserve when you solve for x in this problem? 3x > 12

• Preserve

• Reverse

Does the inequality sign reverse or preserve when you solve for x in this problem?

• Preserve

• Reverse

Which inequality is the same as X > 4 REVERSED?

• 4 < X

• X ≥ 4

• 4 > X

• X = 4

Does the inequality sign reverse or preserve when you solve for x in this problem? x - 15 < 27

• Preserve

• Reverse

• Preserve

• Reverse

Does the inequality sign reverse or preserve when you solve for x in this problem?

x + 21 < 32

• Preserve

• Reverse

• Preserve

• Reverse

When solving an inequality, what are the main things that are different from solving equations.

• Draw the line

• Use inverse operations to solve.

• Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.