# Solving Linear Inequalities Word Problems

We have seen that transforming inequalities into an equivalent inequality will lead us to the solution.To change an inequality into an equivalent inequality, we use the four basic arithmetic operations, but what operation to use is entirely dependent on the type of question, so we must keep our eyes sharp to identify what operation to use.To show the inequality of numbers we use a symbolic notation: In the wiki Representation on the Real Line, we saw that real numbers can be visually represented on a number line, with each point on the line corresponding to a real number and each real number corresponding to a point on the line.

We have seen that transforming inequalities into an equivalent inequality will lead us to the solution.To change an inequality into an equivalent inequality, we use the four basic arithmetic operations, but what operation to use is entirely dependent on the type of question, so we must keep our eyes sharp to identify what operation to use.To show the inequality of numbers we use a symbolic notation: In the wiki Representation on the Real Line, we saw that real numbers can be visually represented on a number line, with each point on the line corresponding to a real number and each real number corresponding to a point on the line.

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Finally, use the properties you have learned to solve the inequality and express the solution graphically or in interval notation.

Seven less than 3 times the sum of a number and 5 is at most 11. Solution: First, choose a variable for the unknown number and identify the key words and phrases.

Given an inequality, what we should do is to isolate the variable on one side.

For example, if we are given the inequality satisfy the above inequality.

Linear inequalities can also be solved by graphing and thinking of them visually.

Solving linear inequalities in one variable is the same as solving linear equations.

This shows us that the numbers are ordered in a particular way.

Those to the left are "less than" those to the right.

Let To earn a B in a mathematics course the test average must be at least 80% and less than 90%.

If a student earned 92%, 96%, 79%, and 83% on the first four tests, what must she score on the fifth test to earn a B?

## Comments Solving Linear Inequalities Word Problems

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