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Linear Inequations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequations5 Marks
Question
Solve the following system of equations in R.
$2\text{x}+6\geq0,4\text{x}-7<0$
✓

Answer

Consider the first inequation,
$2\text{x}+6\geq0$
$2\text{x}\geq-6$
$\text{x}\geq\frac{-6}{2}$
$\text{x}\geq-3\ ...(\text{i})$
Consider the secound inequation,
4x - 7 < 0
4x < 7
$\text{x}<\frac{7}{4}\ ...(\text{ii})$
From (i) and (ii), $\Big[-3,\frac{7}{4}\Big]$ is the solution of the simultaneous equations.

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