1. 5x + 2 ≤ 17
Subtract 2: 5x ≤ 15
Divide by 5: x ≤ 3
Graph: Closed circle at 3, shade left.
2. 21 ≤ 3 + 9x
Subtract 3: 18 ≤ 9x
Divide by 9: 2 ≤ x (or x ≥ 2)
Graph: Closed circle at 2, shade right.
3. 9 - x > 10
Subtract 9: -x > 1
Multiply by -1 (flip inequality): x < -1
Graph: Open circle at -1, shade left.
4. 27 ≤ 7x + 6
Subtract 6: 21 ≤ 7x
Divide by 7: 3 ≤ x (or x ≥ 3)
Graph: Closed circle at 3, shade right.
5. 2x - 5 > 1
Add 5: 2x > 6
Divide by 2: x > 3
Graph: Open circle at 3, shade right.
6. -2x - 3 ≤ -5
Add 3: -2x ≤ -2
Divide by -2 (flip inequality): x ≥ 1
Graph: Closed circle at 1, shade right.
Parent Tip: Review the logic above to help your child master the concept of solving 2 step inequalities worksheet.
