Question

`7-8x >19-7` please answer this on how to solve the inequality?

Answer 1

`x < -5/8`

Explanation:

Isolate x.

`7 - 8x > 19 - 7`

Add `7` to `-7` to cancel it out because it is the lowest number here.

But you do to one side what you do to the other, so add `7` to the positive `7` on the other side. You should now have:

`14 - 8x > 19`

Now, subtract `14` from `14` to cancel it out and do the same to the other side `(19)`. Now, you should have:

`-8x > 5`

Now, to isolate `x,` divide by `-8`.

But remember when you divide or multiply an inequality by a negative value, the sign changes around.

`(-8x) /( -8) < 5/(-8)`

Because you divided by a negative, the sign flips:

`x < -5/8`

Answer 2

`x <-5/8`

Explanation:

You can treat an inequality in exactly the same way as an equation, except if you multiply or divide by a negative value, the inequality sign changes around.

`7color(blue)(-8x)>19-7`

Let's avoid the problem with a negative term with the variable by moving it to the other side,

Add `8x` to both sides and simplify where possible:

`7cancel(-8x) cancel(+8x)>12color(blue)(+8x)`

Subtract `12` from both sides:

`7-12 >12+8x-12`

`-5 > 8x`

`-5/8 > x" "larr (div 8` on both sides)

This can be written as `x <-5/8`