Solving Multistep Inequalities with Variables on Both Sides

• x < 1
• x < -1
• x > 1
• x > -1

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

• n < 1
• n < -1
• n > 1
• n > -1

• m < 6
• m < -6
• m > 6
• m > -6

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

54x + 64 ≥ 49x + 59

• x≥−1

• x≤-1

• x>9

• x<-3

30b + 53 ≥ 18b − 83

• b≥−11.3333

• b≥-14 2/3

• b>8

• -b<12

Solve:
11x + 16 < 43 + 2x

• x < 5

• x < 3

• x > 5

• x > 3

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x

• 2x + 5 < 3x

• 2x + 5 ≤ 3x

• 2x + 5 ≥ 3x