Compound Inequalities

Presentation

•

Mathematics

•

8th - 9th Grade

•

Medium

•

CCSS

6.EE.B.8

Standards-aligned

Melissa Hayes

Used 41+ times

FREE Resource

8 Slides • 13 Questions

Multiple Choice

WARM UP: What inequality does the number line graph represent

$x<-4$

$x>-4$

$x\le-4$

$x\ge-4$

Compound Inequalities

Two Inequalities (or more) joined together with "and" or "or"

Type 1:"Or"

"or" inequalities have a tendency to graph apart

Type 2: "And"

"and" inequalities have a tendency to graph together

Graphing Compound Inequalities

Using the word "OR"

Multiple Select

Which inequalities represent the graph?

_______ or _______

$x\ge-10$

$x\le-10$

$x>20$

$x<20$

$-10\le x<20$

Multiple Choice

Which graph represents $x\le-4$ or $x>0$ ?

Graphing Compound Inequalities

Using the word 'AND'

A compound inequality is an inequality that combines two simple inequalities.

EXAMPLE

Graph x ≥ 4 and x < 7

Draw

Graph the following inequality:

$x\ge4\ and\ x<7$

Draw

Graph the following inequality:

$x>-3\ and\ x<4$

Another way to write the Inequalities

When they use the word 'AND'

low number < x < high number

Example: x < 10 and x ≥ -2

-2 ≤ x < 10

The numbers become the endpoints, just use the proper inequality symbol.

Draw

Graph the following inequality:

$-1\le x\le9$

Multiple Choice

Which graph represents the compound inequality $-5<x<15$ ?

Multiple Choice

Which graph matches the following "And" Compound Inequality

$x>-2\ and\ x<3$

Multiple Choice

Which value of x makes the following Compound Inequality true $-3<2x+3\le15$

$x=8$

$x=-3$

$x=5$

$x=7$

Multiple Select

Which value of x makes the following Compound Inequality true $-2<2\left(x-6\right)\le4$

$x=5$

$x=-2$

$x=0$

$x=7$

Multiple Choice

Which value of x makes the following Compound Inequality true

$-27<7x-13<8$

$x=2$

$x=0$

$x=3$

$x=-2$

Multiple Choice

Which value of x makes the following Compound Inequality true $2x+9>17\ or\ 5x+10<10$

$x=2$

$x=5$

Multiple Choice

Which value of x makes the following Compound Inequality true

$3x\ge9\ or\ 5+x<6$

$x=-5$

$x=2$

WARM UP: What inequality does the number line graph represent

$x<-4$

$x>-4$

$x\le-4$

$x\ge-4$

Show answer

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