Solve the inequality 6−(x−5)<x+3.(1 point)%0D%0AResponses%0D%0A%0D%0Ax<8%0D%0Ax less than 8%0D%0A%0D%0Ax>4%0D%0Ax greater than 4%0D%0A%0D%0Ax>−1%0D%0Ax greater than negative 1%0D%0A%0D%0Ax<4
To solve the inequality 6 - (x - 5) < x + 3, we can simplify it step by step.
Start by distributing the negative sign outside the parentheses:
6 - x + 5 < x + 3
Combine the like terms:
11 - x < x + 3
Add x to both sides of the inequality:
11 < 2x + 3
Subtract 3 from both sides:
8 < 2x
Divide both sides by 2 (or multiply by 1/2):
4 < x
So, the solution to the inequality is x > 4.