Let’s solve each inequality step by step. Remember: when you multiply or divide both sides of an inequality by a
negative number, you must
flip the inequality sign.
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1) 2x < 4
Divide both sides by 2:
→ x < 2
Graph: Open circle at 2, arrow to the left.
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2) 9 ≤ 3n
Divide both sides by 3:
→ 3 ≤ n → which is same as n ≥ 3
Graph: Closed circle at 3, arrow to the right.
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3) x/4 > -3
Multiply both sides by 4 (positive, so no flip):
→ x > -12
Graph: Open circle at -12, arrow to the right.
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4) 16 > 4r
Divide both sides by 4:
→ 4 > r → which is same as r < 4
Graph: Open circle at 4, arrow to the left.
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5) -1 > -x/1 → simplifies to -1 > -x
Multiply both sides by -1 →
FLIP THE SIGN
→ 1 < x → which is same
Parent Tip: Review the logic above to help your child master the concept of one step inequality word problems worksheet.
