Question

19> -4p-5 I need to know how to solve it

Answer 1

Given the inequation:

`{:\implies \quad \sf 19>-4p-5}`

Adding 5 to both sides:

`{:\implies \quad \sf 19+5>-4p}`

Divide both sides by -4, also, we are dividing both sides by a -ve number, so the sign of the inequation will change to <

`{:\implies \quad \sf -(24)/(4)<p}`

`{:\implies \quad \sf p>-6\:\:\longrightarrow \boxed{\bf{p\in (-6,\infty)}}}`

Answer 2

Given inequality,

`\\ \qquad \longrightarrow \: \sf{19 > -4p-5} \\ \\`

Adding 5 to both sides we get :

`\\ \qquad \longrightarrow \: \sf{19 + 5 > -4p-5 + 5} \\ \\`

`\qquad \longrightarrow \: \sf{24 > -4p \: \ \cancel{- \: 5} \: \cancel{+ \: 5}} \\ \\`

`\qquad \longrightarrow \: \sf{24> -4p} \\ \\`

Dividing both sides by (-4) we get :

`\\ \qquad \longrightarrow \: \sf{ (24)/( - 4) > ( - 4p)/( - 4) } \\ \\`

`\qquad \longrightarrow \: \sf{ - 6 < p} \\ \\`

We can also write it as,

`\\ \qquad \longrightarrow \: \sf{ p > - 6} \\ \\`