Solve for a: 7 + -6a ≤ -11

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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