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which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?

You simply substitute each number in to see if it's true. First, try 3.
5x + 4 < 29 now becomes :
5(3) + 4 < 29.
Simplify.
15 + 4 < 29
Simplify again.
19 < 29
This statement is true, so 3 works.
Now try 4.
5(4) + 4 < 29
Simplify
20 + 4 < 29
Simplify again
24 < 29
This statement is true, so 4 works.
Now try 5.
5(5) + 4 < 29
Simplify
25 + 4 < 29
Simplify again
29 < 29
This is not true, so 5 doesn't work. This means 6 also doesn't work.
*** So your answers are 3 and 4 ***

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