-19 < 5x + 6 < 26
Solution
Sure, let's solve this compound inequality step by step.
-
First, we'll solve the inequality "-19 < 5x + 6". To do this, we subtract 6 from both sides to isolate the term with x:
-19 - 6 < 5x + 6 - 6
-25 < 5x
-
Then, we divide both sides by 5 to solve for x:
-25/5 < 5x/5
-5 < x
-
Now, we'll solve the inequality "5x + 6 < 26". Again, we subtract 6 from both sides:
5x + 6 - 6 < 26 - 6
5x < 20
-
And divide both sides by 5:
5x/5 < 20/5
x < 4
-
So, the solution to the compound inequality "-19 < 5x + 6 < 26" is -5 < x < 4. This means that x is greater than -5 and less than 4.
Similar Questions
1/3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.