Question

Here is an inequality -10+x÷4+5>7x-5÷3​

Answer 1

`x < 2`

Explanation:

We want to solve the inequality

`( - 10 + x)/(4) + 5 > (7x - 5)/(3)`

We multiply through by 12 to get:

`12 * ( - 10 + x)/(4) +12 * 5 > (7x - 5)/(3) * 12`

We simplify to get

`3(- 10 + x) +60>4(7x - 5)`

We expand to get:

`- 30 + 3x +60>28x - 20`

Group similar terms to get

`- 30 +60 + 20>28x - 3x`

`50 > 25x`

`2 > x`

`x< 2`