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.
Solve x/3x≥12 .
3 answers
wrong
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.
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.
1 answer