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Inequalities

You must be at least 18 years old to vote. a > 18

The speed limit is 55 mph. s < 55

The package weight must be less than 80 pounds. w

< 80

The president of the United States must be at least

35 years old. a > 35

2

<

Less than or =

No more than

U

p to

I

s at most

>

Greater than

M

ore than

Higher than

O

ver

E

xceeds

<

Less than

Below

Under

Fewer than

>

Greater than or =

At least

A minimum of

Is no less than

Is at least

3

State whether each

inequality is true or false:

1)a

+ 2 > 8, a = 5

2)1

0 < 7 – x, x = -3

3)n

– 6 < 15, n = 18

4)-

3p > 24, p = 8

5)-

2 > 5y – 7, y = 1 4

You try these

x – 4 < 6, x = 0

3x > 4, x = 1

n > 5, n = 12

4 5

n < 3

| | | | | | | | | | | | | | | |

-7 -6 -5 -4 -3-2 -1 0 1 2 3 4 5 6 7 8

x > - 4

| | | | | | | | | | | | | | | |

-7 -6 -5 -4 -3-2 -1 0 1 2 3 4 5 6 7 8 6

1) n > 3

2) x < 5

3) x < 1

4) n > - 1

5) b < - 4

7

Same rules as for solving equations.

If x – 2 = 3, add 2 to both sides, x = 5

If x – 2 > 5, add 2 to both sides, x > 5

If – 4 > a + 7, subtract 7 from both sides, - 11 > a or a > - 11

9

A1) a + 3 > 12

22) 2 > p – 5

N3) n + ½ > 4

Y4) y - ⅓ < 5

10

South American manatees can weigh up to 1300 pounds.

If one of the manatees weighs 968 pounds, up to how much weight might this manatee gain?

Using w to represent the weight gained, write an inequality and solve it.

11