Question

54 is divided by the sum of x and 3. the result is at least 6 find the range of values of x​

Answer 1

Explanation:

We can start by setting up an inequality based on the given information:

54 / (x + 3) ≥ 6

We can simplify this inequality by multiplying both sides by (x + 3):

54 ≥ 6(x + 3)

Next, we can simplify further by distributing the 6 on the right side of the inequality:

54 ≥ 6x + 18

Subtracting 18 from both sides, we get:

36 ≥ 6x

Dividing both sides by 6, we get:

6 ≥ x

Therefore, the range of values of x that satisfy the given conditions is:

x ≤ 6

So any value of x that is less than or equal to 6 will result in a quotient of 54 divided by a sum that is at least 6, which is greater than or equal to 6.