Question

solve for real x |2x-5| >1​

Answer 1

$\bf |2x - 5| > 1 \\ \small \boxed{ \rm adding \: \: 5 \: \: to \: \: both \: \: sides} \\ \tt |2x - 5 + 5| > 1 + 5 \\ \tt |2x| > 6 \\ \small \boxed{ \rm {dividing \: \: both \: \: sides \: \: by \: \: 2 }} \\ \tt \bigg| \frac{2x}{2} \bigg| > \frac{6}{2} \\ \sf |x| > 3$

Thus,

• Real Value of x will be 4, 5, 6, ...... , ∞