30>-6(5-x)
See your later post.
30>-6(5-x)
30> -30+6x
30+30>6x
60>6x Divide with 6
10>x
x<10
To solve the inequality 30 > -6(5-x), we can follow these steps:
Step 1: Distribute the -6 to the terms inside the parentheses:
30 > -6(5) - (-6)(-x)
30 > -30 + 6x
Step 2: Combine like terms:
30 + 30 > -30 + 6x + 30
60 > 6x
Step 3: Divide both sides of the inequality by 6:
60/6 > 6x/6
10 > x
So, the solution to the inequality is x < 10.
To arrive at this result, we applied the distributive property, combined like terms, and performed division on both sides of the inequality.