Inequalities Interpreting One Variable

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

• r>11/45

• r>-11/45

• r>0

• r<-11/45

-4n +17 ≥ 5n - 1

• n ≤ 2

• n < 2

• n > 2

• n ≧ 2

Solve:

7x - 3x - 8 <= 24

• 8

• -8

• 3.2

• 4

Distribute and solve:

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Solve:
12 - 3p ≥ -5 - 3(p - 8)

• p ≥ -4

• all real numbers

• p ≥ -1

• no solution

Mathematical Equivalence

ON