Question

If $x$ is the coordinate of the indicated point on the number line above, which of the lettered points has coordinate $2x$?

• A. A
• B. B
• C. C
• D. D
• E. E

Answer 1

Answer: (B)

B

From the given real line,

$x$ $>$ $-1$ and $x$ $<$ $0$

To find the coordinate $2x$,

$x$ $>$ $-1$ and $x$ $<$ $0$

Multiplying $2$ to all, we get

$2x$ $>$ $(-1$ $\times$ $2)$ and $2x$ $<$ $0$

$2x$ $>$ $-2$ and $2x$ $<$ $0$

The coordinate ${}^{\prime }2x^{\prime }$ lies strictly between ${}^{\prime }(-2{)}^{\prime }$ and ${}^{\prime }{0}^{\prime }$.

In the real line, only such point is ${}^{\prime }{B}^{\prime }$.

Therefore, the coordinate $2x$ is ${}^{\prime }{B}^{\prime }$.