Which inequality correctly describes the solution to 4x - 9 > 7?

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Multiple Choice

Which inequality correctly describes the solution to 4x - 9 > 7?

Explanation:
Solving a linear inequality means isolating the variable and keeping the inequality sign the same when you multiply or divide by a positive number. Start by undoing the minus nine: add 9 to both sides to get 4x > 16. Then divide by the positive 4 to isolate x, giving x > 4. This means every number greater than 4 makes the original inequality true. For a quick check, if x = 5, the left side is 4(5) - 9 = 11, which is greater than 7, so it satisfies the inequality. If x = 4, you get 7, which is not greater than 7, so it does not satisfy. If x = 3, the left side is 3, again not greater than 7. Therefore, the solution describes all numbers strictly greater than 4.

Solving a linear inequality means isolating the variable and keeping the inequality sign the same when you multiply or divide by a positive number. Start by undoing the minus nine: add 9 to both sides to get 4x > 16. Then divide by the positive 4 to isolate x, giving x > 4. This means every number greater than 4 makes the original inequality true.

For a quick check, if x = 5, the left side is 4(5) - 9 = 11, which is greater than 7, so it satisfies the inequality. If x = 4, you get 7, which is not greater than 7, so it does not satisfy. If x = 3, the left side is 3, again not greater than 7.

Therefore, the solution describes all numbers strictly greater than 4.

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