Question 250506
 if y = 2x + 3 and x < 2 which of the following represents all the possible values for y ? 
a) y < 7 b) y > 7 c) y < 5 d) y > 5 e) 5 < y < 7
<pre><font size = 4 color = "indigo"><b>
Solve {{{y=2x+3}}} for x

{{{y=2x+3}}}

Swap sides

{{{2x+3=y}}}

Add -3 to both sides

{{{2x=y-3}}}

Divide both sides by 2

{{{x=(y-3)/2}}}

Substitute {{{(y-3)/2}}} for x in

{{{x<2}}}

{{{(y-3)/2<2}}}

Clear of fractions by multiplying both sides by 2

{{{y-3<4}}}

Add 3 to both sides:

{{{y<7}}}

Correct answer is (A)

Edwin</pre>