Solve for x, the inequalities Exercises. 4x+3 2x+17 - Vidyadip

Question

Solve for x, the inequalities Exercises.
$4\text{x}+3\geq2\text{x}+17$

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Answer

We have $4\text{x}+3\geq2\text{x}+17$
$\Rightarrow4\text{x}-2\text{x}\geq17-3$
$\Rightarrow2\text{x}\geq14$
$\Rightarrow\text{x}\geq7\ ...(\text{i})$
Also, we have $\text{3x}-5\leq-2$
$\Rightarrow\text{3x}\leq-2+5$
$\Rightarrow\text{3x}\leq3$
$\Rightarrow\text{x}\leq1\ ...(\text{ii})$
From (i) and (ii), no value of x is possible.

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