Question

please give full explanation. number of integral solutions |2x-3| ≤ 25 are:​

Answer 1

Step-by-step explanation:

$|2x - 3 | \leqslant 25 \\ 2x - 3 \leqslant + - 25$

$case1 \\ 2x - 3 \leqslant 25 \\ 2x \leqslant 25 + 3 \\ 2x \leqslant 28 \\ x \leqslant 14$

$case2 \\ 2x - 3 \leqslant - 25\\ 2x \leqslant - 25 + 3 \\ 2x \leqslant 22 \\ x \leqslant 11$

no.of integral solutions = condition satisfying both case 1 and case 2

so,,

$x \leqslant 11$

no of integral solutions = infinite