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  4. The graph of the solution on number line of the inequality 3x - 2 < 2x + 1 is

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Q. The graph of the solution on number line of the inequality $3x - 2 < 2x + 1$ is

Linear Inequalities

Solution:

We have, $3 x-2 < 2 x+1$
Transferring the term $2 x$ to $T , H S$ and the term (-2) to R.H.S.
image
All the numbers on the left side of $3$ will be less than it.
$\therefore $ Solution set is $(-\infty, 3)$