Solve the inequality for W.
6w-2<9w-14
Simplify your answer as much as possible.
6w-2 < 9w-14
Adding 2 to both sides:
6w < 9w-12
Subtracting 9w from both sides:
-3w < -12
Dividing both sides by -3 and reversing the inequality:
w > 4
To solve the inequality 6w - 2 < 9w - 14, we need to isolate the variable w.
First, let's rearrange the terms:
6w - 9w < -14 + 2
Combining like terms:
-3w < -12
Next, we can divide both sides of the inequality by -3. Remember, when dividing an inequality by a negative number, we need to reverse the inequality symbol to maintain its direction:
w > (-12) / (-3)
This simplifies to:
w > 4
Therefore, the solution to the inequality is w > 4.
To solve the inequality 6w - 2 < 9w - 14, we need to isolate the variable w on one side of the inequality symbol. Here's how to do it step by step:
Step 1: Begin by subtracting 6w from both sides of the inequality to eliminate the term with w on the left side:
6w - 2 - 6w < 9w - 14 - 6w
-2 < 3w - 14
Step 2: Next, add 14 to both sides of the inequality to isolate the term with w on the right side:
-2 + 14 < 3w - 14 + 14
12 < 3w
Step 3: Now, divide both sides of the inequality by 3 to solve for w:
12/3 < 3w/3
4 < w
Therefore, the solution to the inequality is w > 4.