The solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below
From the question, we are to determine the solution of the given inequality
The given inequality is
3(x – 2) – (1 – x) > 2x – 7
Solving the inequality
3(x – 2) – (1 – x) > 2x – 7
First, clear the parentheses by applying the distributive property
3x - 6 - 1 + x > 2x - 7
4x -7 > 2x - 7
Then,
4x - 2x > -7 + 7
2x > 0
x > 0/2
x > 0
Hence, the solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below
Learn more on Graphing Inequalities here: https://brainly.com/question/24372553
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