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

Aug 17, 2015

Answer:

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

Explanation:

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

(2)
$11 < - 5 x + 4 \to - 5 x + 4 > 11$ subtract 4 and divide by 5:
$\to - 5 x > 7 \to - x > \frac{7}{5}$
Now we have to flip the signs again:
$\to x < - \frac{7}{5}$

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