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.