Question

If one-third of a number is greater than five less than twice the number, which of the following is true? x < 3, x > -3, x > -3/5, x < 3/5

Answer 1

the answer is gonna be x<3

Answer 2

Answer: The correct option is

(A) x < 3.

Step-by-step explanation: Given that one-third of a number is greater than five less than twice the number.

We are to select the inequality that is TRUE.

Let the required number be represented by x.

Then, according to the given information,we have

`(1)/(3)x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<(15)/(5)\\\\\Rightarrow x<3.`

Thus, the true statement is x < 3.

Option (A) is CORRECT.