Question

Give the range of values of $x$ where it satisfies both the given inequation
$2x<14$ and $3x+1>16$ where $xϵN$

• A. 6
• B. {5,6,7}
• C. {5,7}
• D. {7}

Answer 1

The correct option is A

6

Given that $2x<14$;

x < $\frac{14}{2}$ And $3x+1>16$
$x<7$ and $3x>15$
$x<7$ and $x>5$
Combining the equation, we have x > 5 and x < 7
$5<x<7$; Hence x can take the value of only {6}