Question

if the replacement set is the set of integer lying between -3 and 10 , final solution set of 14-5x>=3x-40. Also represent solution set on number line​

Answer 1

SOLUTION

TO DETERMINE

If the replacement set is the set of integer lying between -3 and 10 , final solution set of

$\sf{14 - 5x \geqslant 3x - 40}$

Also represent solution set on number line

EVALUATION

Here the given inequality is

$\sf{14 - 5x \geqslant 3x - 40}$

We know solve it

$\sf{ - 5x - 3x \geqslant - 40 - 14}$

$\sf{ \implies \: - 8x \geqslant - 54}$

$\sf{ \implies \: 8x \leqslant 54}$

$\displaystyle \sf{ \implies \: x \leqslant \frac{54}{8} }$

$\displaystyle \sf{ \implies \: x \leqslant 6.75}$

Now in the given range the solution set is

S = { - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 }

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