Question
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Answer
\( r \geq 78 \)
Solution
To solve the inequality 858 ≤ 11r, follow these steps:
1. Divide both sides of the inequality by 11 (since 11 is positive, the inequality sign does not change):
858 ÷ 11 ≤ r
2. Calculate 858 ÷ 11:
858 ÷ 11 = 78
Thus, the solution is:
78 ≤ r or r ≥ 78.
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Simplify this solution Bonus Knowledge
To solve the inequality \( 858 \leq 11r \), divide both sides by 11. This gives us \( r \geq \frac{858}{11} \). Performing the division, \( \frac{858}{11} = 78 \). Therefore, the solution to the inequality is \( r \geq 78 \). Now, let's not forget that inequalities can represent a range of solutions, so in this case, any value of \( r \) that is 78 or greater will satisfy the inequality! You can think of \( r \) as being invited to a party where everyone who shows up with a value of 78 or above gets in!
