Question : If $7+3x>3+2x$; and $x+3(x-7)<5-x$; then $x$ can take which of the following values?
Option 1: –5
Option 2: 5
Option 3: 6
Option 4: –6
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Correct Answer: 5
Solution :
Given: $7+3x > 3+2x$ and $x+3(x-7) < 5-x$
$7+3x > 3+2x$
$⇒3x-2x > 3-7$
$⇒x > -4$
Also, $ x+3(x-7) < 5-x$
$⇒x+3x-21 < 5-x$
$⇒5x < 5+21$
$⇒x < \frac{26}{5}$
$⇒x < 5.2$
So, the value of $x$ lies between $-4 < x < 5.2$
Hence, the correct answer is 5.
Related Questions
Question : If $4(2x+3)>5-x$ and $5x-3(2x-7)>3x-1,$ then $x$ can take which of the following values?
Question : If $2x-3(4-2x)<4x-5<4x+\frac{2x}{3}$, then $x$ can take which of the following values?
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