# WRITING COMPOUND INEQUALITIES FROM A GRAPH WORKSHEET

## About "Writing compound inequalities from a graph worksheet"

Writing compound inequalities from a graph worksheet :

Here we are going to see some practice questions on writing compound inequalities from a graph.

## Writing compound inequalities from a graph worksheet - Questions

(1)  Write a compound inequality for each graph.

(2)  Write a compound inequality for each graph.

(3)  Write a compound inequality for each graph.

(4)  Write a compound inequality for each graph.

(5)  Write a compound inequality for each graph.

(6)  Write a compound inequality for each graph.

## Writing compound inequalities from a graph - Solution

Question 1 :

Write a compound inequality for each graph.

Solution :

The shaded portion lies between -2 and 2.

The numbers between -2 and 2 are -1, 0, 1.

Here -1, 0 and 1 are greater than -2 and those are lesser than 2.

So, -2 ≤ x ≤ 2 is the required compound inequality for the given graph.

Note :

Here we have used the sign ≤, because we have filled circle.

Question 2 :

Write a compound inequality for each graph.

Solution :

The shaded portion lies between -7 and -3.

The numbers between -7 and -3 are -6, -5, -4.

Here -6, -5, and -4 are greater than -7 and those are lesser than -3.

So, -7 < x < 3 is the required compound inequality for the given graph.

Note :

Here we have used the sign <, because we have unfilled circle.

Question 3 :

Write a compound inequality for each graph.

Solution :

9, 10 and 11 are lesser than 12 and the numbers 16, 17, 18, .........are greater than 15.

12 or x > 15.

Note :

We have used the sign ≤ for 12 and < for 15.

Question 4 :

Write a compound inequality for each graph.

Solution :

-10, -9, -8 ,...... are lesser than -7 and the numbers -5, -4 ,........ are greater than -6.

-7 or x ≥ -6.

Note :

We have used the sign ≤ for -7 and  for -6, because we have filled circle for both numbers.

Question 5 :

Write a compound inequality for each graph.

Solution :

-9, -8, -7,...... are lesser than -4.

-4 or x =  0.

Note :

We have used the sign ≤ for -4 and = for 0.

Question 6 :

Write a compound inequality for each graph.

Solution :

The number 6, 7, 8,............. are greater than 5

x = 2 or x > 5

Note :

We have used the sign > for 5 and = for 2.

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