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Q.
The graph of the solutions of inequality $\frac{3 x-4}{2} \geq \frac{x+1}{4}-1$ on number line is
Linear Inequalities
Solution:
We have,
$ \frac{3 x-4}{2} \geq \frac{x+1}{4}-1 $
or $ \frac{3 x-4}{2} \geq \frac{x-3}{4}$
or $2(3 x-4) \geq(x-3) $
or $ 6 x-8 \geq x-3 $
or $ 5 x \geq 5$
or$ x \geq 1$
The graphical representation of solutions is given in figure.