Question

What is/are the value(s) for x in ⎮4x+8⎮= 11?

Answer 1

$\huge {\boxed {\mathbb {QUESTION}}}$

$What\: is\: the \:value\: of \:x$

$4x+8=11$

$\huge {\boxed {\mathbb {ANSWER}}}$

$\implies 4x+8=11$

$\implies 4x=11-8$

$\implies 4x=3$

$\implies{\boxed {\boxed {x=\frac{3}{4}}}}$

$\implies {\boxed {\boxed {x=0.75}}}$

$\huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$Identities$

${(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

${(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$(a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$

Answer 2

$\Large\sf{\underline{\underline{Question:-}}}$

What is/are the value(s) for x in | 4x + 8 | = 11

$\Large\sf{\underline{\underline{Solution:-}}}$

Here,

| 4x + 8 | = 11

Even if the value of x is a positive or negative integer, since it is being enclosed by a modulus symbol, the total value will always give a positive integer.

So,

4x + 8 = 11

$\implies \: 4x = 11 - 8 \\ \\ \implies \: 4x = 3 \\ \\ \implies \: x = \frac{3}{4}$

$\Large\sf{\boxed{x = 0.75}}$

Hence, the value of x is 0.75

$\pink{Hope \: it \: helps}$