solve -x + 6 > - (2x + 4).
-x + 6 > - (2x + 4)
-x + 6 > - 2x - 4
-x + 2x > -4 - 6
x > -10
To solve the inequality -x + 6 > - (2x + 4), we can start by simplifying the expression on the right side of the inequality.
Given inequality: -x + 6 > - (2x + 4)
First, we can simplify the expression - (2x + 4) by distributing the negative sign:
-x + 6 > -2x - 4
Now, let's isolate the variable x on one side of the inequality.
Adding 2x to both sides of the inequality, we get:
2x - x + 6 > -4
Simplifying the left side of the inequality, we have:
x + 6 > -4
Next, we subtract 6 from both sides of the inequality:
x + 6 - 6 > -4 - 6
Simplifying both sides, we get:
x > -10
Therefore, the solution to the inequality -x + 6 > - (2x + 4) is x > -10.
To solve the inequality -x + 6 > - (2x + 4), we will start by simplifying it.
First, distribute the negative sign inside the parentheses on the right side of the inequality:
-x + 6 > -2x - 4
Next, let's combine like terms by adding 2x to both sides of the inequality:
-x + 2x + 6 > -2x + 2x - 4
This simplifies to:
x + 6 > -4
To isolate the variable x, we'll subtract 6 from both sides of the inequality:
x + 6 - 6 > -4 - 6
This simplifies to:
x > -10
Therefore, the solution to the inequality -x + 6 > - (2x + 4) is x > -10.