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iren [92.7K]
4 years ago
14

What is the solution set for this inequality? |3x+3|≤9 Graph the solution set on the number line.

Mathematics
2 answers:
soldi70 [24.7K]4 years ago
8 0

Answer:

Step-by-step explanation:

because it's an absolute value inequality, there are two inequalities to solve

3x+3 ≤ 9 and 3x+3 ≥ -9, now we solve them separately

x ≤  3 and x ≥ -4, which is -4 ≤ x ≤ 3

Paladinen [302]4 years ago
8 0

Answer:

The solution set of given inequality is -4\leq x\leq 2.

Step-by-step explanation:

If an absolute inequality is defined as

|x|\leq a, then -a\leq x\leq a

The given inequality is

|3x+3|\leq 9

This absolute inequality can be rewritten as

-9\leq 3x+3\leq 9

By this compound inequality we get

-9\leq 3x+3

Subtract 3 from both sides.

-9-3\leq 3x+3-3

-12\leq 3x

Divide both sides by 3.

-4\leq x

3x+3\leq 9

Subtract 3 from both sides.

3x+3-3\leq 9-3

3x\leq 6

Divide both sides by 3.

x\leq 2

Therefore the solution set of given inequality is -4\leq x\leq 2.

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Answer:

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Svetllana [295]
You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
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brilliants [131]

Answer:

The base is 0.1

The base is less than 1 so the function is decreasing

The x intercept is (3,0)

Step-by-step explanation:

The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.

When the base of a logarithm is less than 1, it means that the function is decreasing as is the case in this question.

Looking at the graph, the x axis is cut at the point (3,0). This is the x-intercept of the graph.

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