solve 7n + 1 > 169

Answer 1

To solve 7n + 1 > 169, we need to isolate the variable n.

Subtracting 1 from both sides, we have:

7n > 168

Now, divide both sides by 7 to solve for n:

n > 24

So, the solution is n > 24.

Answer 2

what are all 4 steps?

Answer 3

Apologies for missing a step. Here are all the steps to solve 7n + 1 > 169:

1. Subtract 1 from both sides: 7n > 168
2. Divide both sides by 7: n > 168/7
3. Simplify the right side: n > 24
4. State the solution: n > 24

Answer 4

what would the 4 steps be if you were graphing?

Answer 5

If you were graphing the inequality 7n + 1 > 169, the steps would be as follows:

1. Rewrite the inequality in slope-intercept form: y > -7n + 168 (subtracting 1 from both sides)
2. Graph the line y = -7n + 168. This line has a slope of -7 and a y-intercept of 168.
3. Because the inequality is y > -7n + 168, the line should be dashed to indicate that it does not include the points on the line itself.
4. Shade the region above the line, since the inequality states y > -7n + 168. This indicates all the solutions that make the inequality true.

The graph would show a dashed line with shading above it to represent the solutions.

Answer 6

would it be an open or closed circle on the number line? And would you shade to the left or right?

Answer 7

I apologize for the previous confusion. Let's clarify the steps for graphing the inequality 7n + 1 > 169 on a number line:

1. Begin by rewriting the inequality: 7n + 1 > 169.
2. Subtract 1 from both sides: 7n > 168.
3. Divide both sides by 7: n > 24.
4. On the number line, draw an open circle on the number 24 since the inequality is n > 24.
5. Shade to the right of the open circle to represent all the values greater than 24, satisfying the inequality n > 24.

So, on the number line, there would be an open circle on the number 24, and the shading would be to the right of that open circle.