-3K - 8 is less than or equal to 5k .....solve please

add 3 k to each side

-3k-8>=5k
-8>=8k
divide each side by 8

-1>=k or k<=-1

- 3 k - 8 < = 5 k Subtract 5 k to both sides

- 3 k - 8 - 5 k < = 5 k - 5 k

- 8 k - 8 < = 0 Add 8 to both sides

- 8 k - 8 + 8 < = 0 + 8

- 8 k < = 8 Divide both sides by - 8

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Remark :

If you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

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k > = - 1

To solve the inequality -3K - 8 ≤ 5K, we need to isolate the variable K.

1. Start by adding 3K to both sides of the inequality to move all the K terms to one side:
-3K + 3K - 8 ≤ 5K + 3K

Simplifying, we get:
-8 ≤ 8K

2. We can further isolate K by dividing both sides of the inequality by 8 (since we want to isolate K, we divide by its coefficient):
-8/8 ≤ 8K/8

Simplifying, we get:
-1 ≤ K

So the solution to the inequality -3K - 8 ≤ 5K is K ≥ -1. This means that any value of K that is greater than or equal to -1 will satisfy the inequality.