Question

Solve the inequality X+ 7 < 4x+ 25 The solution is x​

Answer 1

`x > -6`

Explanation:

Solve the following inequality:

`x + 7 < 4x + 25`

-Take
`4x` and subtract it from
`x` :

`x - 4x + 7 < 4x - 4x + 25`

`-3x + 7 < 25`

-Subtract
`7` on both sides:

`-3x + 7 - 7< 25 - 7`

`-3x < 18`

-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take
`-3x` and divide it on both sides:

`(-3x)/(-3) < (18)/(-3)`

`x > -6`

Therefore, the answer is
`x > -6`.