Solving/Interpreting Linear Inequalities in One Step Inequalities

Solve:

6x + 10 > 5x - 12

• x>2

• x<2

• x<-22

• x>-22

Work this one out on paper.

Solve.

-138 ≥ -6 (6b − 7)

• b ≤ 5

• b ≤ -5

• b ≥ 5

• b ≥ -5

8n + 7 ≥ 2n - 29

• n ≤ -6

• n ≥-6

• n > -6

• n < -6

54x + 64 ≥ 49x + 59

• x ≥ −1

• x ≤ -1

• x > 9

• x < -3

Solve: -3x + 16 + 4x > 19

• x > 3

• x > 35

• x > 5

solve for r: 6r-5(-8r-3)<r+10-6

• r>11/45

• r>-11/45

• r>0

• r<-11/45

solve the following for slope intercept form 4x - 4y > 4

• y < x - 1

• y < x - 4

• y < x + 4

• y > x - 4

-4n +17 ≥ 5n - 1

• n ≤ 2

• n < 2

• n > 2

• n ≧ 2

Solve the absolute value inequality: |2x - 1| ≥ 5.

• x ≤ -2 or x ≥ 3

• x ≤ -3 or x ≥ 2

• x ≤ -1 or x ≥ 4

• x ≤ -2 or x ≥ 3

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides