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!