Math  /  Algebra

QuestionWrite a compound inequality for the graph shown below. Use xx for your variable.

Studdy Solution

STEP 1

1. The variable x x represents the values on the number line.
2. The shaded region between 3 and 7, inclusive, indicates that 3 and 7 are part of the solution set.
3. Closed circles on the number line indicate that the endpoints are included in the solution set.

STEP 2

1. Identify the endpoints of the shaded region.
2. Write the compound inequality using the identified endpoints.

STEP 3

Identify the endpoints of the shaded region on the number line.
The endpoints are 3 and 7, and both are included in the solution set because of the closed circles.

STEP 4

Write the compound inequality using the endpoints.
Since the shaded region includes all numbers between 3 and 7, inclusive, the compound inequality is:
3x7 3 \leq x \leq 7
This inequality indicates that x x is greater than or equal to 3 and less than or equal to 7.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord