Question

1) 2x + 1 = x + 6
a) x 35
b) xs 2
c) x < 3,5
d) x 37

2) 2 - 3x = x + 14
a) x <3
b) x 3-3
c) x 23
d) x2-3

3) 2(x + 3) > 3 (1 - x)
a) x>-3
b) x > 6
c) x > -3/5
d) x > 5/3
​

Answer 1

Resposta:

Explicação passo a passo:

1) 2x + 1 = x + 6

2x - x = 6-1

X = 5

___________

2) 2 - 3x = x + 14

2-14= x+3x

-12 = 4x

4x = - 12

X = -12/4

X = - 3

____________

3) 2(x + 3) > 3 (1 - x)

2x+6 > 3 - 3x

2x+3x > 3-6

5x > -3

X > - 3/5

R.:

c) x > -3/5

Answer 2

Resposta:

$2x + 1 = x + 6\\\\\mathrm{Subtrair\:}1\mathrm{\:de\:ambos\:os\:lados}\\\\2x+1-1=x+6-1\\\\\mathrm{Simplificar}\\\\2x=x+5\\\\\mathrm{Subtrair\:}x\mathrm{\:de\:ambos\:os\:lados}\\\\2x-x=x+5-x\\\\x=5$

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$2 - 3x = x + 14\\\\\mathrm{Subtrair\:}2\mathrm{\:de\:ambos\:os\:lados}\\\\2-3x-2=x+14-2\\\\\mathrm{Simplificar}\\\\-3x=x+12\\\\\mathrm{Subtrair\:}x\mathrm{\:de\:ambos\:os\:lados}\\\\-3x-x=x+12-x\\\\\mathrm{Simplificar}\\\\-4x=12\\\\\mathrm{Dividir\:ambos\:os\:lados\:por\:}-4\\\\\frac{-4x}{-4}=\frac{12}{-4}\\\\x=-3$

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$2(x + 3) > 3 (1 - x)\\\\2x+6=3-3x\\\\\mathrm{Subtrair\:}6\mathrm{\:de\:ambos\:os\:lados}\\\\2x+6-6=3-3x-6\\\\\mathrm{Simplificar}\\\\2x=-3x-3\\\\\mathrm{Adicionar\:}3x\mathrm{\:a\:ambos\:os\:lados}\\\\2x+3x=-3x-3+3x\\\\\mathrm{Simplificar}\\\\5x=-3\\\\\mathrm{Dividir\:ambos\:os\:lados\:por\:}5\\\\\frac{5x}{5}=\frac{-3}{5}\\\\x=-\frac{3}{5}$