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

1 Answer
Aug 17, 2015

Answer:

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.