Solve: 5x – 3 < 7, when x is an integer. - Vidyadip

Question

Solve: 5x – 3 < 7, when x is an integer.

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Answer

It is given in the question that,
5x – 3 < 7
$\Rightarrow$ 5x – 3 + 3 < 7 + 3
$\Rightarrow$ 5x < 10
$\Rightarrow$ $\frac{5 x}{5}<\frac{10}{5}$
$\Rightarrow$ x < 2, When x is an integer
It can be clearly observed that the integer number less than 2 are…, -2, -1, 0, 1.
Thus, solution of 5x – 3 < 7 is …,-2, -1, 0, 1, when x is an integer.
$\therefore$ solution set = {…, -2, -1, 0, 1}

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