LINEAR INEQUALITIES — MATHS STD 11 Science — Question
Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES1 Mark
Question
Solve: 3x + 8 >2, when x is a real number.
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Answer
It is given in the question that, 3x + 8 >2 $\Rightarrow$ 3x + 8 – 8 >2 – 8 $\Rightarrow$ 3x >- 6 $\Rightarrow$ $\frac{3 x}{3}>\frac{-6}{3}$ $\Rightarrow$ x > -2, where x is a real number. It can be clearly observed that the solutions of 3x + 8 > 2 will be given by x > -2 which states that all the real numbers that are greater than -2. $\therefore$ solution set = (-2, $\infty$)
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