**Writing compound inequalities from a graph worksheet :**

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

(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.

**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.**

**x **≤ 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.**

**x **≤ -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.**

**x **≤ -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.

After having gone through the stuff given above, we hope that the students would have understood "Writing compound inequalities from a graph worksheet".

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