Question
solve five less than the quotient of a number and 3 is less than 11
Answers
GPT 3.5
To solve the inequality, we can follow these steps:
1. Let's assume that the number we are trying to find is represented by 'x'.
2. The quotient of a number and 3 is x/3.
3. Subtracting five from this quotient gives x/3 - 5.
4. According to the given information, x/3 - 5 must be less than 11. So, the inequality becomes:
x/3 - 5 < 11.
5. To solve for x, let's isolate x by adding 5 to both sides of the inequality:
x/3 < 11 + 5.
x/3 < 16.
6. To further isolate x, multiply both sides of the inequality by 3:
3 * (x/3) < 3 * 16.
x < 48.
Therefore, the solution for the given inequality is x < 48.
1. Let's assume that the number we are trying to find is represented by 'x'.
2. The quotient of a number and 3 is x/3.
3. Subtracting five from this quotient gives x/3 - 5.
4. According to the given information, x/3 - 5 must be less than 11. So, the inequality becomes:
x/3 - 5 < 11.
5. To solve for x, let's isolate x by adding 5 to both sides of the inequality:
x/3 < 11 + 5.
x/3 < 16.
6. To further isolate x, multiply both sides of the inequality by 3:
3 * (x/3) < 3 * 16.
x < 48.
Therefore, the solution for the given inequality is x < 48.