Question

How do you solve the inequality: `4> -5x+3` and `11<-5x+4`?

Answer 1

From the above you meant `4> -5x+3` ?
Let's do them separately

Explanation:

(1)
`4> -5x+3->-5x+3<4` subtract 3 and then divide by 5:
`-5x< 1->-x<1/5`
Now we have to flip all the signs including the inequality-sign:
`->x> -1/5`

(2)
`11<-5x+4->-5x+4>11` subtract 4 and divide by 5:
`->-5x>7->-x>7/5`
Now we have to flip the signs again:
`->x<-7/5`

Combining these (as we have to with an AND-question), we get no overlap, so no solution.