Multi-Step & Compound Inequalities

Regular

100

6x+2+6x<14

x<1

200

-2m + 2 - 3 ≤ 9

m ≥ -5

300

5(6 + 3x) + 7 ≥ 127

x ≥ 6

400

-8x + 2x - 16 < -5x + 7x

x > -2

500

3(p - 3) - 5p > -3p - 6

p > 3

"Or"

100

2n + 7 ≥ 27   or    3 + 3n ≤ 30

n ≥ 10   or   n ≤ 9

200

7x - 5 ≥ 65    or      -3x - 2 ≥ -2

x ≥ 10   or    x ≤ 0

300

-10x + 3 < -37    or    3x - 10 < -25

x > 4  or  x<-5

IN: (neg. infinity, -5) or (4, infinity)

400

3n + 2 ≤ -2    or     8n - 4< 3n - 4

n <= -1.3   or   n < 0

500

8x - 5 ≥ 6x -1   or    4 + 4x ≤ 3x - 3

x >= 2  or  x ≤ -7

"And"

100

-1 < 9 + n < 17

n > -10  and  n< 8

200

-50 < 7k + 6 < -8

k > -8   and   k < -2

300

-36 < 3p - 6 < -15

p > -10  and   p < -3

400

-33 ≤ -7n - 12 < -26

n ≤ 3   and   n > 2

500

5x + 10 ≤ -4x -17 < 9 - 2x

x > -13   and   x ≤ -3

Old Stuff

100

6x+2+1-8x

-2x+3

200

4-4p=-8(-7p+7)

p=1

300

(6)(-4)-(-6)-4

-22

400

-4+6|-x-9|=98

{-26,8}

500

-3=-4n-2p-a, for p

p=-3+4n+a/-2