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Mobile App Chapter 1: Q2. (page 37)
Write an inequality using the symbol whose solution set is graphed below.
Short Answer
The inequality whose solution graph is given is
Step by step solution
- Observation from image
From given image, open circle on 3 denotes it is not included in the solution.
All real number to the left of 3 are the solution of required inequality.
So, solution is all real number less than 3.
- Write properties of inequality
Properties of inequalities are written in following table:
- Write an example
Let denotes the variable.
As solution is all real number less than 3, so inequality is
But to write inequality using symbol, use multiplication property of inequalities.
Multiply both sides with same negative number will reverse the sign of inequality.
So multiply both sides by any negative number gives required inequality as shown below.
Thus, inequality using symbol is
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