Questions: Consider the following inequality: 3x - 2 > 7 Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Consider the following inequality:
3x - 2 > 7

Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Transcript text: Consider the following inequality: \[ 3 x-2>7 \] Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Solution

Solution Steps

Step 1: Isolate the variable term

To isolate the variable term, we rearrange the inequality to get \(ax > c - b\).

Step 2: Solve for \(x\)

Dividing both sides of the inequality by \(a\) gives us \(x > \frac{c - b}{a}\).

Step 3: Calculate the solution

Substituting the given values into the formula, we calculate \(k = \frac{7 - (-2)}{3} = 3\), leading to \(x > 3\).

Final Answer:

The solution to the inequality is x > 3.

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