Question

Solve x/3x≥12 .

Answer 1

wrong

Answer 2

To solve the inequality x/(3x) ≥ 12, we begin by multiplying both sides of the inequality by 3x to eliminate the denominator:

(3x)(x/(3x)) ≥ (3x)(12)

x ≥ 36x

Next, we subtract 36x from both sides of the inequality to isolate the variable:

x - 36x ≥ 0

-35x ≥ 0

Now, we divide both sides of the inequality by -35. Note that since we are dividing by a negative number, the inequality symbol will flip:

(-35x)/(-35) ≤ 0/(-35)

x/35 ≤ 0

Therefore, the solution to the inequality is x ≤ 0.

Answer 3

Apologies for the mistake. Let's solve the inequality correctly:

Starting with the inequality x/(3x) ≥ 12, we can simplify it by cancelling out the common factor of x:

1/3 ≥ 12

To eliminate the fraction, we can multiply both sides by 3:

3 * (1/3) ≥ 12 * 3

1 ≥ 36

However, the inequality 1 ≥ 36 is not true. Thus, there is no solution to the inequality x/(3x) ≥ 12.