Solve the inequality. Check your solutions.

5w +6 > 26

1 answer

To solve the inequality 5w + 6 > 26, we need to isolate the variable w.

Subtracting 6 from both sides gives us:

5w > 20

Next, we divide both sides by 5 to solve for w:

w > 4

To check our solution, we can substitute any value greater than 4 into the original inequality and see if it holds true. For example, let's try w = 5:

5(5) + 6 > 26

25 + 6 > 26

31 > 26

Since 31 is indeed greater than 26, we can conclude that the solution w > 4 is correct.
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