Question

–2/5 x – 9 < 9/10 (2 points)

Answer 1

Coming to the question :

(-2/5)x - 9 < 9/10

(-2/5)x < 9/10 + 9 ( taking -9 to R.H.S. , just like what we do in solving equations)

(-2/5)x < (9 + 90)/10 ( taking L.C.M. of R.H.S.)

(-2/5)x * 10 < 99 ( cross multiplying)

-2x * 2 < 99

-4x < 99

-x < 99/4 (diving both sides by 4)

Now, we are not multiplying or dividing both sides by -ve because it would create difficulty and therefore we would first add x on both sides then subtract 99/4.

-x + x < 99/4 + x
0 < 99/4 + x
-99/4 < 99/4 + x - 99/4
-99/4 < x

Or

x > -99/4