Question

solve this question 2p-5<-3p+6
and the answer is 1 how?​

Answer 1

$\bf \large \to \: 2p-5 \: \blue< \: -3p+6 \\ \small\boxed{ \rm{adding \: \: \purple{ 3p} \: \: to \: \: both \: \: sides}}\\ \to \: \tt 2p + 3p - 5 \: \blue< \: - \cancel{ 3p} + \cancel{ 3p} + 6\\ \to \: \tt 5p - 5 \blue< 6 \\ \small\boxed{ \rm{adding \: \: \purple5 \: \: to \: \: both \: \: sides}}\\ \to \: \tt 5p - \cancel5 + \cancel5 \blue< 6 + 5 \\ \to \: \tt5p \blue< 11 \\ \small\boxed{ \rm{dividing \: \: both \: \: sides \: \: by \: \: \purple5}}\\ \to \: \tt \frac{\cancel5p}{\cancel5} \blue< \frac{11}{5} \\ \to \: \tt p \blue< \frac{11}{5} \\ \to \: \tt p \blue< 2.2\\ \\ \\ \boxed{ \boxed{ \huge \orange{ \therefore} \sf \: \: p = \red{\{ 2,1,0, - 1, - 2 \: \dots\}}}}$