Solve 2x - 5 > 7.

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

Solve 2x - 5 > 7.

Explanation:
When solving a linear inequality, you perform the same operations as you would for an equation, but you keep the inequality sign in mind and don’t flip it unless you multiply or divide by a negative number. Start by adding 5 to both sides to move the -5: 2x > 12. Then divide by the positive number 2 to isolate x: x > 6. This means every number bigger than 6 satisfies the inequality, while 6 itself does not (substitute x = 6: 2(6) - 5 = 7, which is not greater than 7). So the solution set is all x greater than 6.

When solving a linear inequality, you perform the same operations as you would for an equation, but you keep the inequality sign in mind and don’t flip it unless you multiply or divide by a negative number. Start by adding 5 to both sides to move the -5: 2x > 12. Then divide by the positive number 2 to isolate x: x > 6. This means every number bigger than 6 satisfies the inequality, while 6 itself does not (substitute x = 6: 2(6) - 5 = 7, which is not greater than 7). So the solution set is all x greater than 6.

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