GED Test Mathematics Flash Review by LearningExpress

Author:LearningExpress
Language: eng
Format: epub
Tags: epub, ebook, InDesign
Publisher: LearningExpress
Published: 2015-02-18T05:00:00+00:00

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x ≥ –3 means “x is greater than or equal to –3.” Make a number line with –3 in the middle. Draw a circle around the hash mark at –3 and shade both the circle and the number line to the right of –3. The circle is shaded to indicate that –3 is part of the solution set.

Which of the following shows the solution set represented by 2 < x?

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How do you solve the following inequality? Interpret and explain what the final answer means.

8x – 10 < 62

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What is the trickiest concept to remember when solving inequalities? (Hint: You will need to remember this trick when the variable has a negative coefficient, such as in the following inequality: –7x + 6 > 41.)

2 < x is the same as x > 2, which is read “x is greater than 2.” (It is usually easier to understand the context of the inequality when the variable is written first.) Since 2 is not part of the solution set, the circle on the hash mark of 2 on the number line must remain open, and number line should be shaded to the right. The second answer choice represents 2 < x.

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Inequalities are solved similarly to regular equations. Isolate x by using opposite operations in the reverse order of PEMDAS.

8x – 10 < 62

8x < 72

x < 9

This answer means that all values of x that are less than 9 will be a solution to the original equation, 8x – 10 < 62.

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In inequalities, whenever dividing or multiplying by a negative number, the direction of the inequality symbol must be reversed. This ONLY holds true if the number that is being multiplied or divided is negative, and not in cases when only the final answer is negative!

–7x + 6 > 41

–7x > 35

–7x/–7 > 35/–7

x < –5

Find the solution set of the inequality 2x < 24 + 8x.

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What is the solution set of the inequality –x + 2 > 5?

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