Option 1) 4x > 9-7 Option 2) 4x > 9 +7 Option 3) x > 9-7-4 Option 4) x > 4(9+7)

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Question

Option 1) 4x > 9-7

Option 2) 4x > 9 +7

Option 3) x > 9-7-4

Option 4) x > 4(9+7)

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Answer

:

The correct option is Option 1 ($4x > 9 - 7$).

To solve this, let's simplify each step:

  1. Starting with the given inequality: $$ 4x > 9 - 7 $$

  2. Simplify the right-hand side: $$ 4x > 2 $$

Alternatively, if we start from the inequality $4x + 7 > 9$, we can derive the same result by following these steps:

  1. Given: $$ 4x + 7 > 9 $$

  2. Subtract 7 from both sides: $$ 4x + 7 - 7 > 9 - 7 $$

  3. Simplifying both sides: $$ 4x > 2 $$

This confirms that Option 1 is correct. The transformations demonstrate that $4x > 9 - 7$ results in the same inequality when simplified.

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