Question

Solve the inequality. Check your solutions.
5 y font size decreased by 10plus8greater than18
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Part 1
The solution is y font size decreased by 10
▼
less than or equals
greater than or equals
less than
greater than
  
enter your response here.

Answer 1

Let's solve the inequality \( 5y - 10 + 8 > 18 \).

1. Simplify the expression within the inequality:

\[
5y - 10 + 8 > 18
\]

Combine like terms:

\[
5y - 2 > 18
\]

2. Next, we will isolate \(y\):

Add 2 to both sides:

\[
5y > 20
\]

3. Now, divide each side by 5:

\[
y > 4
\]

So, the solution to the inequality is:

\[
y > 4
\]

### Checking the Solution

To check, we can take a number greater than 4 (for example, 5) and substitute it back into the original inequality:

1. Substitute \( y = 5 \):

\[
5(5) - 10 + 8 > 18
\]

Calculate:

\[
25 - 10 + 8 = 23
\]

Since \( 23 > 18 \), our solution holds true.

### Conclusion

The solution is:

\[
y > 4
\]

You can fill in the response as:

\[
\text{y greater than }
\]