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.
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.
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