Solve the following system of equations in R. 0< -x 2 <3 - Vidyadip

Question

Solve the following system of equations in R.
$0<\frac{-\text{x}}{2}<3$

✓

Answer

Consider the first inequation,

$\frac{\text{x}}{2}<0$

x < 0 ...(i)

Consider the second inequation,

$\frac{-\text{x}}{2}<3$

$-\text{x}<6$

$-\text{x}>-6\ ..(\text{ii})$

From (i) and (ii), $(-6, 0)$ is the solution set of the simultaneous equations.

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