Question

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. $5<y<7$

Answer 1

The correct option is A $y<7$

Given, $y$ $=$ $2x$ $+$ $3$ and $x$ $<$ $2$

To find possible values for $y$,

$\Rightarrow 2x$ $=$ $y$ $-$ $3$

$\Rightarrow x$ $=$ $\frac{y-3}{2}$

As $x$ $<$ $2$,

$\Rightarrow \frac{y-3}{2}$ $<$ $2$

$\Rightarrow y$ $-$ $3$ $<$ $4$

$\Rightarrow y$ $<$ $7$

Therefore, possible values for ${}^{\prime }{y}^{\prime }$ are ${}^{\prime }y$ $<$ $7^{\prime }$.