Question

Solve for x: 5x + one third(3x + 6) > 14

1. x > twelve fifths
2. x > 2
3. x < twelve fifths
4. x < 2

Answer 1

Answer:

It should be x > 2

Step-by-step explanation:

Answer 2

Answer:

The correct option is B) x > 2.

Step-by-step explanation:

Consider the provided inequality.

$5x+\frac{1}{3}(3x+6)>14$

Distributive property:

$a(b+c)=ab+ac$

By the distributive property.

$5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14\\5x+x+2>14$

Add the like terms

$6x+2>14$

Subtract 2 from both sides.

$6x+2-2>14-2\\6x>12$

Divide both sides by 6.

$\frac{6x}{6}>\frac{12}{6}\\x>2$

Hence, the correct option is B) x > 2.