155k views
0 votes
Only answer if you know 100%!!

Solve and graph the inequality.
3n -10 ≥ 2

2 Answers

4 votes

First you should simplify the inequality and get n by itself:

3n - 10 ≥ 2 Add 10 on both sides

3n ≥ 12 Divide 3 on both sides

n ≥ 4

When the sign is ≤ or ≥ (less/greater than or equal to), the line is a solid line.

When the sign is < or >, the line is a dotted line.

If the variable is > than the function (like y > 3x + 2, or x > 2y²) The shaded area is above the line (or going in the positive direction)

If the variable is < than the function (like x < 2, or x < 5z - 7), The shaded area is below the line.

Since we got n ≥ 4,

If n is an x value, or n = x, you would have a horizontal line at y = 4, but if n is a y value, n = y, you would have a vertical line at x = 4. The shaded area should be above the line, or to the right of the line since n is > 4. (Sorry, I don't know if n = y or n = x, hope this clarified things)

User ElSajko
by
8.3k points
4 votes

Answer:

n ≥4

Explanation:

3n -10 ≥ 2

Add 10 to each side

3n -10+10 ≥ 2+10

3n ≥12

Divide by 3

3n/3 ≥12/3

n ≥4

Only answer if you know 100%!! Solve and graph the inequality. 3n -10 ≥ 2-example-1
User Greg Lyon
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories