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

It should be x > 2

Explanation:

Answer 2

The correct option is B) x > 2.

Explanation:

Consider the provided inequality.

`5x+(1)/(3)(3x+6)>14`

Distributive property:

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

By the distributive property.

`5x+(1)/(3)* 3x+(1)/(3)* 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.

`(6x)/(6)>(12)/(6)\\x>2`

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