Solve the inequality. Graph the solution set and write it in interval notation.

5(4x + 1) < 5

Write the answer in interval notation.
__ (Type your answer in interval notation.)

1 answer

The first step is to simplify the inequality. We'll start by distributing the 5 on the left side:

5(4x + 1) < 5
20x + 5 < 5

Now, let's isolate the variable on one side of the inequality. We'll subtract 5 from both sides:

20x + 5 - 5 < 5 - 5
20x < 0

Finally, we'll divide both sides by 20 to solve for x:

20x/20 < 0/20
x < 0

The solution set is all values of x that are less than 0.

In interval notation, this can be written as: (-∞, 0).
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