Linear Inequations — MATHS STD 11 Science — Question
Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations3 Marks
Question
Solve the following system of equations in R. $\frac{7\text{x}-1}{2}<-3,\frac{3\text{x}+8}{5}+11<0$
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Answer
Consider the first inequation, $\frac{7\text{x}-1}{2}<-3$ 7x - 1 < -6 7x < -6 + 1 7x < -5 Consider the second inequation, $\frac{3\text{x}+8}{5}+11<0$ $\frac{3\text{x}+8+55}{5}<0$ $\frac{3\text{x}+63}{5}<\frac{0}{1}$ $3\text{x}+63<0$ $3\text{x}<-63$ $\text{x}<-21\ ...(\text{ii})$ From (i) and (ii), $(-\infty,-21)$ is the solution set of the simultaneous equations.
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