Mrs.D Math · 6th Grade

DIVIDE &
CONQUER

Multiply & Divide Inequalities
> Greater than
< Less than
≥ Greater than or equal
≤ Less than or equal
⚔️ 4y < −8
🛡️ y < −2
🏁 Graph the Line!
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📚 How It Works

Solving with Multiplication & Division

Undo whatever is happening to the variable — do the same thing to both sides. Since we only multiply or divide by positive numbers, the symbol stays the same!

1
4y < −8 — y is multiplied by 4, so divide both sides by 4.
4y ÷ 4 < −8 ÷ 4  →  y < −2
2
y/3 ≥ −2 — y is divided by 3, so multiply both sides by 3.
y/3 × 3 ≥ −2 × 3  →  y ≥ −6
3
Word problems: 6 puppies each weigh more than 5 oz → t/6 > 5 → t > 30 ounces

Graphing the Solution

○
Open circle for > or < — that number is NOT included.
●
Closed circle for ≥ or ≤ — that number IS included.
→
Arrow points right for greater than (>, ≥) and left for less than (<, ≤).

How to Play

⚔️
Solve It — Solve the inequality. Choose from 4 answers.
📈
Solve & Graph — Solve, then build the graph: pick ○ or ●, pick ← or →, tap the number on the line, then CHECK.
🏁
Mixed — Both types together for the ultimate challenge!
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