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Linear Inequations — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsLinear Inequations1 Mark
Question
List the solution set of 30 – 4 (2.x – 1) < 30, given that x is a positive integer.
✓

Answer

$
\begin{aligned}
& 30-4(2 x-1)<30 \\
& 30-8 x+4<30 \\
& -8 x<30-30-4 \\
& -8 x<-4 x>\frac{-4}{-8} \\
& \Rightarrow x>\frac{1}{2}
\end{aligned}
$
$x$ is a positive integer
$
x=\{1,2,3,4 \ldots . . .\} \text {. }
$

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