-6w < 84 plz help!
dividing (or multiplying) by a negative quantity, reverses the direction of the inequality
w > -14
To solve the inequality `-6w < 84`, we need to isolate the variable `w`.
Step 1: Divide both sides of the inequality by `-6`, remembering that when you divide an inequality by a negative number, the direction of the inequality symbol flips.
(-6w) / -6 > 84 / -6
Simplifying:
w > -14
Therefore, the solution to the inequality is `w > -14`.
To solve the inequality, you need to isolate the variable w. Here's how you can do it step by step:
1. Start by moving the constant term (in this case, 84) to the opposite side of the inequality symbol. Since the constant term is positive, you'll need to subtract 84 from both sides of the inequality:
-6w - 84 < 0
2. Next, divide both sides of the inequality by the coefficient of the variable w, which is -6. Since you're dividing by a negative number, the direction of the inequality symbol needs to be flipped:
(-6w - 84) / -6 > 0
Simplifying:
w + 14 > 0
3. Finally, solve for w by moving the constant term (14) to the opposite side of the inequality symbol. Since the constant term is positive, you'll need to subtract 14 from both sides:
w > -14
So, the solution to the inequality -6w < 84 is: w > -14.