x > 1 is the required solution of the given inequality - 3x + 7 < 4. This can be obtained by solving the inequality the same way as we solve an algebraic equation.
<h3>Solve the inequality:</h3>
The inequality can be solved as the same way as we solve an algebraic equation.
- Combine the terms with variables to one side and constants to other side.
- To multiply the whole inequality with negative terms we reverse the sign of the inequality.
Here in the question the inequality to be solved is given:
- 3x + 7 < 4
By subtracting 7 from both sides of the inequality we get,
⇒ - 3x + 7 - 7 < 4 - 7
⇒ - 3x < - 3
To make the side of the inequality with variable x positive we multiply the whole equation with - 1, then we have to reverse the sign of inequality since we have to multiply the whole inequality with a negative term,
we get,
⇒ 3 x > 3
Now finally by dividing the whole inequality by 3 we get,
⇒ x > 1
The number line representation can be done by marking values from 1 to numbers greater than 1.
Hence x > 1 is the required solution of the given inequality - 3x + 7 < 4.
Learn more about inequality here:
brainly.com/question/20383699
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Sorry I don’t know what the answer is
Answer:
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Step-by-step explanation: