10−3(−5b−6)≤
−9b−5+8 what is b
To solve this equation for b, we will follow the order of operations (PEMDAS).
10 - 3(-5b - 6) ≤ -9b - 5 + 8
First, we will distribute the -3 to the terms inside the parentheses:
10 + 15b + 18 ≤ -9b - 5 + 8
Simplifying further:
15b + 28 ≤ -9b + 3
Next, we will combine like terms:
15b + 28 ≤ -9b + 3
To isolate the b term, we will subtract 15b from both sides of the equation:
28 ≤ -24b + 3
Now, we will subtract 3 from both sides:
25 ≤ -24b
To solve for b, we will divide both sides by -24, remembering to flip the inequality sign since we are dividing by a negative number:
25/-24 ≥ -24b/-24
-25/24 ≥ b
Therefore, b is greater than or equal to -25/24.