Solve each compound inequality. Graph your solutions.
ToSolve:The compound inequality
Answer to Problem 5P
The solutions of given inequality are all the real numbers in the interval
The graph of the given inequality is
Explanation of Solution
Given:
The compound inequality
Concept Used:
The solution of aninequality is the set of all the values which satisfies the inequality.
The graph of an inequality in one variable shows all the solutions of the inequality on a number line.
Calculation:
Given the compound inequality
Solving the inequality
Solving the inequality
Thus,
Therefore, thesolution of given compounded inequality are all the real numbers in the interval
Graphing the solution of the given compounded inequality.
Since, the solution of givencompounded inequality are all the real numbers
Therefore, the graph of the given inequality is
Conclusion:
The solutions of given inequality are all the real numbers in the interval
The graph of the given inequality is
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