Question

Pls help me with this

Answer 1

Answer:

x = 1.5

Step-by-step explanation:

Given

$\frac{x}{2} \geq 0.75$

$\frac{x}{2} < 2.5$

Required

Find the value of x.

First, the inequalities need to be rewritten and merged;

if $\frac{x}{2} \geq 0.75$, then

$0.75 \leq \frac{x}{2}$

Multiply both sides by 2

$2 * 0.75 \leq \frac{x}{2} * 2$

$1.5 \leq x$

Similarly;

$\frac{x}{2} < 2.5$

Multiply both sides by 2

$2 * \frac{x}{2} < 2.5 * 2$

$x < 5$

Merging these results together; to give

$1.5 \leq x < 5$

This means that the range of values of x is from 1.5 to 4.9999....

From the question, x is the smallest rational number; from the range above ($1.5 \leq x < 5$), the minimum value of x is 1.5 and 1.5 is a rational number;

Hence, x  = 1.5