Solve for u. 86 ≥ 7 – u.

To solve for ( u ) in the inequality ( 86 geq 7 – u ), follow these steps:

1. Isolate ( u ): Start by moving ( u ) to one side of the inequality. You can do this by adding ( u ) to both sides and subtracting 86 from both sides.

[

86 – 7 geq -u

]

Simplifying this gives:

[

79 geq -u

]

2. Multiply by -1: When you multiply or divide an inequality by a negative number, you must reverse the inequality sign.

[

-79 leq u

]

This can also be written as:

[

u geq -79

]

So, the solution is ( u geq -79 ). This means ( u ) can be any number greater than or equal to -79.

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