Final answer:
To solve the inequality for the quotient of x and 3 is less than or equal to 5, divide x by 3 and set it less than or equal to 5. The result is x is less than or equal to 15.
Step-by-step explanation:
To write and solve an inequality for the quotient of x and 3 is less than or equal to 5, we can start by translating the problem into an inequality. Since 'the quotient of x and 3' can be represented as x/3, the inequality becomes:
x/3 ≤ 5
To solve this inequality, we can multiply both sides by 3 to isolate x:
x ≤ 3 * 5
Simplifying further:
x ≤ 15
So the solution to the inequality is x is less than or equal to 15.