Respuesta :
Answer:
x > ten sevenths
Step-by-step explanation:
We want to solve for x in the inequality:
[tex]6x+\frac{1}{4}(4x+8)>12[/tex]
We multiply through by 4 to clear the fraction.
[tex]4*6x+4*\frac{1}{4}(4x+8)>4*12[/tex]
[tex]\implies 24x+1(4x+8)>48[/tex]
[tex]\implies 24x+4x+8>48[/tex]
Group similar terms to get:
[tex]\implies 24x+4x>48-8[/tex]
[tex]\implies 28x>40[/tex]
[tex]\implies x>\frac{40}{28}[/tex]
[tex]\implies x>\frac{10*4}{7*4}[/tex]
[tex]\implies x>\frac{10}{7}[/tex]
The first choice is correct
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]6x+\frac{1}{4}(4x+8)>12[/tex]
We need to solve the inequality for x.
Using distributive property we get
[tex]6x+\frac{1}{4}(4x)+\frac{1}{4}(8)>12[/tex]
[tex]6x+x+2>12[/tex]
Combine like terms.
[tex]7x+2>12[/tex]
Subtract 2 from both sides.
[tex]7x>12-2[/tex]
[tex]7x>10[/tex]
Divide both sides by 7.
[tex]x>\frac{10}{7}[/tex]
x > ten sevenths
Therefore, the correct option is 1.