The solution of the given inequality 8(u + 8) ≥ 8u+8 is true for all u.
We have given inequality 8(u + 8) ≥ 8u+8
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Expand 8(u + 8)
[tex]8u+64\ge \:8u+8[/tex]
Subtract 64 from both sides
[tex]8u+64-64\ge \:8u+8-64[/tex]
Simplify given term
[tex]8u\ge \:8u-56[/tex]
Subtract 8u from both sides
[tex]8u-8u\ge \:8u-56-8u[/tex]
Simplify it
[tex]0\ge \:-56[/tex]
Therefore the solution is true for all u.
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