1.

Solution set of the inequation given by -11≤4x-3≤13 is: * (-2,4) [-11,13] [-2,4] [-8,16]​

Answer»

SOLUTION

TO CHOOSE THE CORRECT OPTION

Solution set of the inequation given by

- 11 ≤ 4x - 3 ≤ 13 is: 

(-2,4)

[-11,13]

[-2,4]

[-8,16]

EVALUATION

Here the given inequality is

\sf{ - 11 \leqslant 4x - 3 \leqslant 13}

Now

\sf{ - 11 \leqslant 4x - 3  \:  \:  \: gives}

\sf{ \implies \:  - 11 + 3 \leqslant 4x }

\sf{ \implies \: 4x \geqslant  - 8 }

\sf{ \implies \: <klux>X</klux> \geqslant  -2 }

Again

\sf{  \: 4x - 3  \leqslant 13  \:  \:  \: gives }

\sf{ \implies \: 4x   \leqslant 13  + 3}

\sf{ \implies \: 4x   \leqslant 16}

\sf{ \implies \: x   \leqslant 4}

COMBINING we get

- 2 ≤ x ≤ 4

Hence the required solution set is [ - 2 , 4 ]

FINAL ANSWER

Hence the correct option is [ - 2 , 4 ]

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Learn more from Brainly :-

1. Solve 3x<12=0 when x is a real NUMBER and natural number

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2. WRITE down the solution set of the inequation x< 6, when the replacement W.

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