182k views
2 votes
Complete the inequality to represent the relationship. Then solve your inequality. Use the variable x to represent the unknown number. The sum of a number and twenty-three is greater than seven times the number decreased by one.

User Pcv
by
8.8k points

1 Answer

5 votes

Answer:

Explanation:

The inequality is saying that the sum of a number and twenty-three is greater than seven times the number decreased by one. To solve this inequality, we need to find the value of x that makes this statement true.

We can start by using x to represent the unknown number. So, the sum of a number and twenty-three can be written as x + 23. Seven times the number decreased by one can be written as 7x - 1.

Now we can write the inequality as:

x + 23 > 7x - 1

To solve for x, we need to isolate x on one side of the inequality. We can do this by subtracting x from both sides of the inequality:

x + 23 - x > 7x - x - 1

Simplifying the left side gives:

23 > 6x - 1

Adding 1 to both sides gives:

24 > 6x

Dividing both sides by 6 gives:

4 > x

Therefore, the solution to the inequality is x < 4.

This means that any number less than 4 will make the inequality true. For example, if we plug in x = 3, we get:

3 + 23 > 7(3) - 1

26 > 20

This statement is true because 26 is greater than 20.

I hope this explanation helps!

User Nurettin
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.