Questions: Solve the linear inequality. Express the solution using interval notation. 3x - 3 > 3 Graph the solution set.

Solve the linear inequality. Express the solution using interval notation. 3x - 3 > 3 Graph the solution set.
Transcript text: Solve the linear inequality. Express the solution using interval notation. \[ 3 x-3>3 \] Graph the solution set.
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Solution

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Solution Steps

Step 1: Isolate the variable term

To solve the inequality \(3x - 3 > 3\), first add 3 to both sides to isolate the term with the variable: \[3x - 3 + 3 > 3 + 3\] \[3x > 6\]

Step 2: Solve for the variable

Next, divide both sides by 3 to solve for \(x\): \[\frac{3x}{3} > \frac{6}{3}\] \[x > 2\]

Step 3: Express the solution in interval notation

The solution \(x > 2\) can be expressed in interval notation as: \[(2, \infty)\]

Final Answer

The solution to the inequality \(3x - 3 > 3\) is \(x > 2\), which in interval notation is \((2, \infty)\).

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