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How do I solve linear inequalities?


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How do I solve linear inequalities?
in Mathematics by ♦ Platinum (93,184 points) | 20 views

1 Answer

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To solve linear inequalities, follow these steps:1. Isolate the variable on one side of the inequality.
2. If you multiply or divide both sides of the inequality by a negative number, flip the inequality sign.
3. If there are variables on both sides of the inequality, move them to one side of the inequality.
4. Simplify both sides of the inequality if possible.
5. Graph the solution on a number line.
6. Write the solution using interval notation or set notation.For example, to solve the inequality 2x + 5 < 11, follow these steps:1. Isolate the variable on one side of the inequality:2x + 5 < 11
Subtract 5 from both sides:
2x < 6
Divide both sides by 2:
x < 32. Check if you need to flip the inequality sign:Since you did not multiply or divide both sides by a negative number, you do not need to flip the inequality sign.3. Move variables to one side of the inequality:There are no variables on both sides of the inequality.4. Simplify both sides of the inequality if possible:The inequality is already simplified.5. Graph the solution on a number line:
by ♦ Diamond (50,291 points)

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