30¡Ý-6(5-x)

¡Ý= greater than or equal to

30 >= -6(5-x)

30 >= -30 + 6x
60 >= 6x
10 >= x

x <= 10

To simplify the given expression, you need to follow the order of operations, which is often abbreviated as PEMDAS:

1. Parentheses: Simplify any expressions inside parentheses.
2. Exponents: Evaluate any exponentiation.
3. Multiplication and division: Perform any multiplication or division from left to right.
4. Addition and subtraction: Perform any addition or subtraction from left to right.

Now let's simplify the given expression step by step:

1. Simplify the expression inside the parentheses:

-6(5 - x)

To distribute the -6 across the parentheses, multiply -6 by both terms inside:

-6 * 5 + (-6 * -x)

-30 + 6x

2. Now combine the simplified expression with the inequality:

30 ≥ -30 + 6x

3. Solve for x:

To isolate x, you need to move the constant term to the other side of the inequality:

30 + 30 ≥ 6x

60 ≥ 6x

4. Divide both sides of the inequality by 6:

60/6 ≥ 6x/6

10 ≥ x

So, the solution to the inequality is x ≤ 10.