Solve the inequality. Graph the solution set and write it in interval notation.

Question

4x - 3 > 3x - 7

Write the answer in interval notation.
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Answer 1

To solve the inequality, we need to isolate the variable x.

Starting with the given inequality: 4x - 3 > 3x - 7

We can subtract 3x from both sides of the inequality: 4x - 3 - 3x > 3x - 7 - 3x

Simplifying: x - 3 > -7

Next, we can add 3 to both sides of the inequality: x - 3 + 3 > -7 + 3

Simplifying: x > -4

So the solution to the inequality is x > -4.

To graph the solution set, we draw a number line and shade everything to the right of -4.

On the number line, we mark a solid circle at -4 (since the inequality is "greater than" and not "greater than or equal to"), and shade everything to the right of it.

In interval notation, the solution set is (-4, ∞).