SOLVING INEQUALITIES INVOLVING ABSOLUTE VALUE WORKSHEET FOR GRADE 11

Solving inequalities involving absolute value worksheet for grade 11 :

In this section, we are going to see some practice questions on solving inequalities involving absolute value.

Solving Inequalities Involving Absolute Value Worksheet for Grade 11 - Problems and Solutions

Problems :

(1)  Solve for x,  

(i)  |3 - x| < 7       Solution 

(ii)   |4x - 5| ≥ -2      Solution 

(iii)  |3 - (3x/4)| ≤ 1/4    Solution 

(iv)  |x| - 10 < -3               Solution 

(2)  Solve 1/|2x−1| < 6 and express the solution using the interval notation.     Solution

(3)  Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line.     Solution

(4)  Solve 2|x + 1| − 6 ≤ 7 and graph the solution set in a number line    Solution 

(5)  Solve (1/5) |10x - 2| < 1     Solution

(6)  Solve  |5x - 12| < -2     Solution

After having gone through the stuff given above, we hope that the students would have understood, how to solve inequalities involving absolute value. 

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