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.
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.
1.2b+35<50
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.