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write an inequality for the sentence. the light bulb must be at least 6…

Question

write an inequality for the sentence.
the light bulb must be at least 60 watts.
options:
a ( l leq 60 )
b ( l > 60 )
c ( l geq 60 )
question 3
graph the inequality on a number line.
( f geq 6 )

Explanation:

Step1: Understand "at least"

"At least 60" means the value (let \( l \) be the wattage of the light bulb) is greater than or equal to 60. So the inequality should represent \( l \) being 60 or more.

Step2: Analyze options

  • Option a: \( l \leq 60 \) means "at most 60", which is incorrect.
  • Option b: \( l > 60 \) means "more than 60" (excluding 60), but "at least" includes 60, so this is incorrect.
  • Option c: \( l \geq 60 \) means "greater than or equal to 60", which matches "at least 60".

Answer:

c. \( l \geq 60 \)