Question

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.

Answer 1

1.2b+35<50

Answer 2

Let the number be represented by x.

The given problem can be translated into the equation 4x - 15 > 49.

To solve this, we can add 15 to both sides of the inequality to isolate the variable:

4x - 15 + 15 > 49 + 15
4x > 64

Finally, divide both sides of the inequality by 4:

4x/4 > 64/4
x > 16

Therefore, the possible values of the number are all real numbers greater than 16.

The inequality that could be used to solve this problem is x > 16.

Answer 3

To solve the inequality 1.2b + 35 < 50, we can start by subtracting 35 from both sides to isolate the variable:

1.2b + 35 - 35 < 50 - 35
1.2b < 15

Next, we can divide both sides of the inequality by 1.2 to solve for b:

(1.2b)/1.2 < 15/1.2
b < 12.5

Therefore, all the possible values of b that satisfy the inequality are real numbers less than 12.5.