– 6 w < 84
Divide both sides by - 6
When you mutiply or divide both sides by a negative number the sign changes directions.
w > 84 / - 6
w > - 14
Solve the inequality.
1.
–6w < 84
w > 14
w < –14
w > –14
w < 14
7 answers
–6w < 84
To solve for w, we need to isolate w on one side of the inequality symbol. Since -6 is negative, we need to divide both sides by -6, but remember that dividing by a negative number will flip the inequality symbol.
-6w < 84
w > -14 (dividing by -6 and flipping the symbol)
Therefore, the solution is w > -14.
-6w < 84
w > -14 (dividing by -6 and flipping the symbol)
Therefore, the solution is w > -14.
5m>45
To solve for m, we need to isolate m on one side of the inequality symbol. We can do that by dividing both sides by 5.
5m > 45
m > 9 (dividing both sides by 5)
Therefore, the solution is m > 9.
5m > 45
m > 9 (dividing both sides by 5)
Therefore, the solution is m > 9.
n/-3 ≥ 4
k/6>4
Carlos needs to buy at least 7 pairs of socks. They come in packages of 3. What is the fewest number of packages he should get?
k/6>4
Carlos needs to buy at least 7 pairs of socks. They come in packages of 3. What is the fewest number of packages he should get?
1. n/-3 ≥ 4
To solve for n, we need to isolate n on one side of the inequality symbol. We can do that by multiplying both sides by -3 and flipping the inequality symbol since -3 is negative.
n/-3 ≥ 4
n ≤ -12 (multiplying both sides by -3 and flipping the symbol)
Therefore, the solution is n ≤ -12.
2. k/6 > 4
To solve for k, we need to isolate k on one side of the inequality symbol. We can do that by multiplying both sides by 6.
k/6 > 4
k > 24 (multiplying both sides by 6)
Therefore, the solution is k > 24.
3. Carlos needs to buy at least 7 pairs of socks. They come in packages of 3. What is the fewest number of packages he should get?
Since each package contains 3 socks and Carlos needs at least 7 pairs (14 socks), he will need to get at least 5 packages of socks. This will give him a total of 15 socks, which is enough to make 7 pairs with one sock left over. Therefore, the fewest number of packages Carlos should get is 5.
To solve for n, we need to isolate n on one side of the inequality symbol. We can do that by multiplying both sides by -3 and flipping the inequality symbol since -3 is negative.
n/-3 ≥ 4
n ≤ -12 (multiplying both sides by -3 and flipping the symbol)
Therefore, the solution is n ≤ -12.
2. k/6 > 4
To solve for k, we need to isolate k on one side of the inequality symbol. We can do that by multiplying both sides by 6.
k/6 > 4
k > 24 (multiplying both sides by 6)
Therefore, the solution is k > 24.
3. Carlos needs to buy at least 7 pairs of socks. They come in packages of 3. What is the fewest number of packages he should get?
Since each package contains 3 socks and Carlos needs at least 7 pairs (14 socks), he will need to get at least 5 packages of socks. This will give him a total of 15 socks, which is enough to make 7 pairs with one sock left over. Therefore, the fewest number of packages Carlos should get is 5.
1 answer