How do i simplify this math problem? 1-7/2x<2-x?

Question

How do i simplify this math problem? 1-7/2x<2-x?

Answer 1

For 1-(7/2)x&lt;2-x

Multiply everything by 2 to get rid of all fractions:

(2)1 - (2)(7/2)x &lt; (2)2 - (2)x

2 - 7x &lt; 4 - 2x

Add 2x to both sides

2 - 5x &lt; 4

Subtract 2 from both sides:

-5x &lt; 2

Divide both sides by -5 (which switches the &lt; to &gt;):

x &gt; -2/5

Hope that helps!

Answer 2

1-7 = -6

so...    -6/2x &lt; 2-x

then you need to isolate the &#039;x&#039;

so...    -6-2 &lt; -2x^2

then simplify

...    -8 &lt; -2x^2

you can stop there or keep going to solve for x