How do you solve and graph #4.7-2.1x> - 7.9#?

The graphs for this is:

graph{x < 6 [-10, 10, -5, 5]}

To solve and graph the inequality 4.7 - 2.1x > -7.9:

1. Subtract 4.7 from both sides: -2.1x > -7.9 - 4.7
2. Simplify: -2.1x > -12.6
3. Divide both sides by -2.1 (remember to reverse the inequality sign when dividing by a negative number): x < (-12.6)/(-2.1)
4. Solve: x < 6

The solution is x < 6. To graph it on a number line, plot an open circle at 6 and shade to the left, indicating all values less than 6.

To solve the inequality (4.7 - 2.1x > -7.9), follow these steps:

1. Subtract (4.7) from both sides to isolate the term containing (x): [4.7 - 4.7 - 2.1x > -7.9 - 4.7]

2. Simplify both sides of the inequality: [-2.1x > -12.6]

3. Divide both sides by (-2.1). Remember, when you divide or multiply by a negative number, reverse the direction of the inequality: [\frac{-2.1x}{-2.1} < \frac{-12.6}{-2.1}]

4. Simplify: [x < \frac{12.6}{2.1}]

5. Compute the value: [x < 6]

So, the solution to the inequality is (x < 6).

To graph this on a number line, plot an open circle at (x = 6) (since (6) is not included in the solution due to the inequality being strict), and shade to the left of that point to represent all values of (x) less than (6).