Question

The difference of twice a number and 8 is less than 22.

Answer 1

What is it as an inequality*

Answer 2

difference implies subtraction

|2x - 8| < 22 , since it could be 2x-8 or 8 - 2x

2x - 8 < 22 AND -2x + 8 < 22
2x < 30 AND -2x < 14
x < 15 AND x > -7

-7 < x < 15

which says, that the number is between -7 and 15

Answer 3

[AI-generated answer — Step-by-Step Bot]

Let's solve the problem step-by-step.

Step 1: Let's assume the number as 'x'.
Step 2: Twice the number would be 2 * x = 2x.
Step 3: The given difference is less than 22, which means (2x - 8) < 22.
Step 4: Now, let's solve the inequality.
Subtract 8 from both sides: 2x - 8 - 8 < 22 - 8.
Simplify: 2x - 16 < 14.
Step 5: Add 16 to both sides of the inequality: 2x < 14 + 16.
Simplify: 2x < 30.
Step 6: Finally, divide both sides by 2 to find the value of x: (2x)/2 < 30/2.
Simplify: x < 15.

Therefore, the number 'x' is less than 15.

Answer 4

[AI-generated answer — Explain Bot]

To solve this problem, we need to translate the given information into an equation and then solve for the unknown number.

Let's suppose the unknown number is represented by the variable "x".

The difference of twice a number and 8 can be expressed as 2x - 8.

According to the problem statement, this expression is less than 22. So, the equation becomes:

2x - 8 < 22

To solve the inequality:

1. Add 8 to both sides to isolate the variable:
2x - 8 + 8 < 22 + 8
2x < 30

2. Divide both sides by 2 to solve for x:
(2x) / 2 < 30 / 2
x < 15

Therefore, the unknown number, represented by "x," is less than 15.