Question

What is the answer for
−2x+8>0 or −12≥−2x+8

Answer 1

To solve the inequality -2x+8>0 or -12≥-2x+8, we need to solve each part of the inequality separately. The solution is x<4 or 10≤x.

Step-by-step explanation:

To solve the inequality -2x+8>0 or -12≥-2x+8, we need to solve each part of the inequality separately.

Let's start with -2x+8>0. Subtracting 8 from both sides, we get -2x>−8.

Now, dividing both sides by -2 (remember that dividing by a negative number flips the inequality sign), we have x<4.

Now let's solve -12≥-2x+8. Subtracting 8 from both sides, we get -20≥-2x.

Dividing both sides by -2, we have 10≤x. Combining the two solutions, we have x<4 or 10≤x.

This means that x can be any value less than 4 or any value greater than or equal to 10.