Final answer:
To solve the inequality x+1 >= -x+3, add x to both sides and subtract 1 from both sides to get 2x >= 2. Dividing both sides by 2 gives x >= 1.
Step-by-step explanation:
The given inequality is x+1 ≥ -x+3. To solve for x, we need to isolate x on one side of the inequality. We do this by adding x to both sides and then subtracting 1 from both sides, resulting in:
2x ≥ 2
Dividing both sides by 2 we get:
x ≥ 1
This means that any value of x that is greater than or equal to 1 will satisfy the inequality.
It's important to always perform the same operation on both sides of an inequality to maintain the equality.