Question

determine o conjunto solução de cada inequação seguinte
a)3x+8<7x-4
b)4x-7<-3
c)8x-1<-12x+9
d)9x+6<10x+1
e)12x-7<11x+2
​

Answer 1

Explicação passo-a-passo:

A resolução está na foto

Answer 2

$\large{a)3x + 8 < 7x - 4}$

$\large{3x - 7x < - 4 - 8}$

$\large{ - 4x < - 12}$

$\large{x > 12 \div 4}$

$\large \boxed{ \red{{x > 3}}}$

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$\large{b)4x - 7 < - 3}$

$\large{4x < - 3 + 7}$

$\large{4x < 4}$

$\large{x < 4 \div 4}$

$\large \boxed{ \red{{x < 1}}}$

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$\large{c)8x - 1 < - 12 + 9}$

$\large{8x + 12x < 9 + 1}$

$\large{20x < 10}$

$\large \boxed{ \red{{x < \frac{10}{20} }}}$

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$\large{d)9x + 6 < 10x + 1}$

$\large{9x - 10x < 1 - 6}$

$\large{ - 1x < - 5}$

$\large \boxed{ \red{{x > 5}}}$

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$\large{e)12x - 7 < 11x + 2}$

$\large{12x - 11x < 2 + 7}$

$\large{1x < 9}$

$\large \boxed{ \red{{x < 9}}}$

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Att, IzabelaCristina2006 ❤️ ♈