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

6 left parenthesis 5 x plus 1 right parenthesis
less than6
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Part 1
Choose the correct graph below.

D.
An infinite number line labeled from negative 10 to 10, has tick marks in increments of 1. The region to the left of a right bracket at 6 is shaded.
-10-8-6-4-20246810
Part 2
Write the answer in interval notation.
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​(Type your answer in interval​ notation.)

3 answers

The correct graph is D. An infinite number line labeled from negative 10 to 10, has tick marks in increments of 1. The region to the left of a right bracket at 6 is shaded.

The solution set can be written in interval notation as (-∞, 6).
no
Apologies for the previous response.

Given the inequality 6(5x + 1) < 6, we can solve it as follows:

6(5x + 1) < 6
30x + 6 < 6
30x < 0
x < 0/30
x < 0

So the solution set is x < 0.

Graphically, we represent this on a number line by shading the region to the left of 0. The interval notation for this solution set is (-∞, 0).
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