Math

Question Solve the inequality 4x61>854x - 61 > -85 for the real number xx.

Studdy Solution

STEP 1

Assumptions
1. We are given an inequality 4x61>854x - 61 > -85.
2. We need to solve for xx.

STEP 2

We will start by isolating the term with the variable xx on one side of the inequality. To do this, we will add 6161 to both sides of the inequality to eliminate the 61-61 term on the left side.
4x61+61>85+614x - 61 + 61 > -85 + 61

STEP 3

Perform the addition on both sides of the inequality.
4x>244x > -24

STEP 4

Now, we need to isolate xx by dividing both sides of the inequality by 44, the coefficient of xx.
4x4>244\frac{4x}{4} > \frac{-24}{4}

STEP 5

Perform the division to solve for xx.
x>6x > -6
The solution to the inequality 4x61>854x - 61 > -85 is x>6x > -6.

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