Question

# State true or false:$$4x-5=7$$ does not have an integer as its solution.

A
True
B
False

Solution

## The correct option is B FalseGiven linear equation is $$4x-5=7$$Adding  $$5$$ on both sides, we get:$$4x-5+5=7+5$$$$\Rightarrow 4x=12$$Dividing the complete equation by $$4$$, we get:$$x=\dfrac{12}{4}$$$$\therefore \ x=3$$Hence, the solution of this equation is $$3$$, which is an integer.Therefore, the given statement is false.Mathematics

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