State whether the following statements are true or false.
$4 x - 5 = 7$ does not have an integer solution.

True

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False

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Solution

The correct option is A True
Given $4 x - 5 = 7$
Transpose $' - 5'$ on RHS
$4 x = 7 + 5 4 x = 12 x = \frac{12}{4}$
$∴ x = 3$
Therefore, the solution for $4 x - 5 = 7$ is $3$ and $3$ is an integer.
Hence the given statement is true.

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