Inequalities & Solution Sets

Name the sign

100

>

Greater than

200

<

Less than

300

≥

Greater than or equal to

400

≤

Less than or equal to

500

≠

Does not equal

Graph the Inequality

100

b > -4

open circle arrow to the right

200

z ≤ 15

closed circle arrow to the left

300

x + 5 ≤ 14

closed circle on 9 arrow to the left

400

x/7 ≥ 10

Closed circle on 70 arrow to the right

500

4m + 2 < 14

open circle on 3 arrow to the left

Solve the Inequality

100

2a < 8

a < 4

200

7x + 3 > 24

x > 3

300

h/2 ≥ -20

h ≥ -40

400

z/4 - 8 < 4

z < 48

500

(t -7) / 3 < 4

t < 19

Solution Sets

100

M > 3

R = {0, 1, 2, 3, 4}

s = {4}

200

y - 3 > 21

R = {20, 25, 30, 35, .... 50}

s = {25, 30, 35, .... 50}

300

26 ≤ 3t

R = {5, 7, 9, 11, 13}

S = {9, 11, 13}

400

f + 3 ≠ 7

R = {2, 4, 6, 8, 10}

S = {2, 6, 8, 10}

500

2r - 3 ≥ 7

R = {0, 1, 2, 3, 4}

Empty Set