Solve for a.
7 + -6a ≤ -11
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To solve the inequality ( 7 – 6a leq -11 ), follow these steps:
1. Subtract 7 from both sides:
[
7 – 6a – 7 leq -11 – 7
]
This simplifies to:
[
-6a leq -18
]
2. Divide both sides by -6:
Remember that when you divide or multiply by a negative number, you must flip the inequality sign.
[
a geq 3
]
So, the solution is ( a geq 3 ).
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