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How Do I Solve My Inequality & Graph It On A Number Line?

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How Do I Solve My Inequality & Graph It On A Number Line?

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Linear inequalities have many similarities to linear equations. Linear inequalities and linear equations differ in that equations have one solution, whereas inequalities have a range of solutions. If you can solve an equation, you can quickly learn how to solve an inequality. Linear inequalities can also be graphically represented on a number line. Add or subtract expressions in an inequality as you would with a linear equation, aiming to isolate your variable. For example, to solve 2x-4>12, you can add 4 to both sides and have 2x>16. Multiply or divide positive numbers in an inequality as you would with a linear equation, with the goal of isolating your variable. For example, simply 2x>16 by dividing both sides by 2, equaling x>8. Flip the inequality sign when you multiply or divide by a negative number. For example, to solve -4x>12, divide both sides by -4 and flip the sign, equaling x<-3. Draw a number line. Locate the number which your inequality is greater or less than. If you are

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