
To calculate:The solution of the given inequality and express the solution using interval notation. Also graph the solution set on the real number line.

Answer to Problem 87RE
Inequalities are mathematical expressions involving the symbols
In order to solve an inequality, the following things can be done.
• Add the same number to each side of the inequality.
• Subtract the same number from each side .
• Multiply or divide each side by the same numberand if multiplied or divided each side by a negative number, then the inequality symbol must be reversed.
The inequality can be solved as follows:
The solution using interval notation is
The shaded region shows solution of the given inequality on the graph below .
Explanation of Solution
Given information:
The given inequality is
Formula used:
In order to solve an inequality, the following things can be done.
• Add the same quantity to each side of th inequality
• Subtract the same quantity from each side
• Multiply or divide each side by the same positive quantity and If multiplied or divided each side by a negative quantity, then the inequality symbol must be reversed.
In case of non linear inequality,the function may be factorised and solved further long division method etc.
The following methods can be used for showing the solutions of the inequalities.
• solve simple inequalities using algebra
• solve simple inequalities by drawing graphs
• solve inequalities in which there is a modulus symbol
• solve quadratic inequalities
Calculation:
In order to solve an inequality, the following things can be done.
• Add the same quantity to each side of th inequality
• Subtract the same quantity from each side
• Multiply or divide each side by the same positive quantity and If multiplied or divided each side by a negative quantity, then the inequality symbol must be reversed.
The inequality can be solved as follows:
The solution using interval notation is
The shaded region shows the given inequality on the graph below .
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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