Solve the inequality for w
14-6w>2-9w
Simplify your answer as much as possible.
14-6w > 2-9w
First, let's combine like terms:
-6w + 9w> 2 - 14
3w > -12
Next, we can divide both sides by 3 to solve for w:
w > -4
So the solution to the inequality is w > -4.
To solve the inequality 14 - 6w > 2 - 9w, we need to isolate the variable w on one side of the inequality.
Let's start by moving all the terms containing w to one side of the inequality:
14 - 2 > 2w - 9w - 6w
12 > -4w
Next, we can divide both sides of the inequality by -4, but we need to remember that when we divide an inequality by a negative number, the direction of the inequality sign should be reversed:
12/(-4) < -4w/(-4)
-3 < w
Therefore, the solution to the inequality is w > -3.
To solve the inequality 14 - 6w > 2 - 9w, we need to isolate the variable w on one side of the inequality sign.
Step 1: Start by collecting like terms on both sides of the inequality:
14 - 6w > 2 - 9w
Step 2: Combine the like terms:
-6w + 9w > 2 - 14
Step 3: Simplify the equation:
3w > -12
Step 4: Divide both sides of the inequality by 3 to isolate w:
w > -12/3
Step 5: Simplify the result:
w > -4
So, the solution to the inequality 14 - 6w > 2 - 9w is w > -4.