Solve and Graph: Finding the Solution to 5-8x<7x+3

Which diagram represents the solution to the inequality below?

58x<7x+3 5-8x<7x+3

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1

Understand the problem

Which diagram represents the solution to the inequality below?

58x<7x+3 5-8x<7x+3

2

Step-by-step solution

First, we will move the elements:

58x>7x+3 5-8x>7x+3

53>7x+8x 5-3>7x+8x
2>15x 2>15x

We divide the answer by 13, and we get:

x>215 x > \frac{2}{15}

3

Final Answer

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Solve the following inequality:

\( 6x - 2 < 4 \)

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