Question

Anybody,
Please solve the above Assignment !

For 50 Points... !​

Answer 1

Step-by-step explanation:

★ Question :-

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⟶ If the replacement set is the set of natural numbers [ N ] , then find the solution set of :-

• 1.] 3x + 4 < 16
• 2.] 8 - x ⩽ 4x - 2

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★ Answer :-

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⠀⠀⠀⠀⠀$\large \bold \red{(1.) \: 3x + 4 < 16} \\ \\ \mapsto \large \bold{3x < 16 - 4} \\ \\ \large \bold{ = 3x < 12} \\ \\ \large \bold{ = \frac{3x}{3} < \frac{12}{3} } \\ \\ \rightarrow \large \bold \pink{x < 4}$

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⠀⠀⠀∴ Solution Set = { 1, 2, 3 }

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⠀⠀⠀⠀$\large \bold \red{(2.) \: 8 - x \leqslant 4x - 2} \\ \\ \mapsto \large \bold{ - x - 4x \leqslant - 2 - 8} \\ \\ \large \bold{ = - 5x \leqslant - 10} \\ \\ \large \bold{ = \frac{ - 5x}{ - 5} \geqslant \frac{ - 10}{ - 5} } \\ \\\rightarrow\large\bold\pink{x \geqslant 2}$

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∴ Solution Set = { 2, 3, 4, 5, 6, .... }

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$\large\colorbox{pink}{Hope lt'z Help You ❥ }$

Answer 2

$\tt\huge\purple{hello!!!}$

HERE IS UR ANSWER

$_____________________________$

i)

3x+4<16

3x<16-4

x<4

ii)

8-x<4x-2

10<5x

x>2