Question

Seven more than twice a number is less than negative thirteen. Find all numbers that make this statement true. The answer is (Type an inequality using x as the variable.)

Answer 1

x < -10

Step-by-step explanation:

First, we need to write the sentence seven more than twice a number is less than negative thirteen as an algebraic form. So, we can represent each part of the sentence as:

Seven: 7

more: +

Twice a number: 2x

is less than: <

negative thirteen: -13

So, the inequality that represents the sentence is:

7 + 2x < -13

Now, we need to solve for x, so subtract 7 from both sides:

7 + 2x - 7 < -13 - 7

2x < -20

Divide both sides by 2:

2x/2 < -20/2

x < -10

Therefore, the numbers that make the statement true are the numbers that are less than - 10.

So, the answer is:

x < -10