Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first

Question

Pls get it right

Answer 1

To translate the statement "Fifteen less than four times a number is more than 49" into an inequality, we can break it down as follows:

1. "Four times a number" can be represented as $4x$.
2. "Fifteen less than four times a number" translates to $4x-15$.
3. "Is more than 49" represents the inequality $>49$.

Putting these together, we can write the inequality:

$$4x-15>49$$

Now, to solve for $x$, we can follow these steps:

1. Add 15 to both sides: $$4x-15+15>49+15$$ $$4x>64$$

2. Divide both sides by 4: $$x>16$$

So, the solution to the inequality is:

$$x>16$$

This means that all possible values of $x$ are greater than 16.