Inequalities

Inequalities Information

100

How would you read the following inequality: x<5

x is less than 5

200

What kind of circle would you use to graph the following inequality? (open or closed) x> -8

an open circle

300

How would you read the following inequality: x≥300

x is greater than or equal to 300

400

Which way would I shade the following inequality? x≥0

to the right

500

What happens to an inequality if you divide by a negative number on your last step?

you have to flip the inequality sign

Draw on a Number Line

100

x>5

open circle on 5 and shaded to the right

200

x≥-3

closed circle on -3 and shaded to the right

300

X+5≤9

closed circle on 4, shade to the left

400

-1< x-7

Open circle on 6 and shade to the right

500

4-x≤7

Closed circle on negative 3 and shade to the right

Solving one-step inequalities

100

x+2>7

X>5

200

x-3≤-8

x≤-5

300

3x<9

x<3

400

-3x>-12

x<4

500

-10>-2x

5<x

Solving two-step inequalities

100

2x+3>7

x>2

200

5x-8≥ -18

x≥-2

300

3<2x+7

x>-2

400

6≥7-x

x≥1

500

-6x-7<29

x>-6

Thanksgiving Inequalities

100

Symbolize with an Inequality: I ate more mashed potatoes than corn

potatoes>corn

200

Symbolize with an inequality: The cornucopia has more fruits than vegetables

Fruits>Vegetables

300

Symbolize with an inequality: There are less people at the kids table than at the adults table

kids<table

400

Symbolize with an inequality: There is at least as much red rice as there is turkey at a Cano family Thanksgiving

red rice ≥ turkey

500

Symbolize with an inequality: At the most, 12 people can fit at the Thanksgiving table

people≤12