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Magazine Chapter 1: Q20. (page 37)
Solve each inequality. Describe the solution set using set-builder or interval notation. Then graph the solution set on number line.
20.
Short Answer
Solution of inequality is
In interval form, solution set is
Solution set on number line is
Step by step solution
- Write properties of inequality
Properties of inequalities are written in following table:
- Simplify −8p≥24
To simplify given inequality, use division property of inequalities. Divide by same negative number reverse the sign of inequality as shown below
- Write solution set
The solution set of the inequality contains all real numbers less than or equal to
As, is included in the set so bracket is used with it also is not included so parentheses is used with it.
In interval form solution set is
- Graph the solution set
Assolution set of the inequality is all real numbers less than or equal to
So arrow is towards and dot on shows it is included in the solution set.
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