Solving Multi-Step Problems Using Non-Linear Inequalities in One Variable

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

-2 (x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

-4x -7 ≥ 21

• x ≤ -7
• x ≥ -7
• x ≤ 8
• x ≤ -8

10 < 3x + 19

• x < 3
• x > 3
• x < -3
• x > -3

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Pick the correct letter for:
6 > x

• A
• B
• C
• D

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

55c + 13 ≤ 75c + 39

• c≤10/13
• c ≥ −13/10
  
• -c>19
• c≤50/80

30b + 53 ≥ 18b − 83

• b≥−​3​​4/3
• b≥-14 2/3
• b>8
• -b<12

-2 (x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9