Question

solve the inequality and graph the solution.
6r + 4 > 16
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
← ─5 ─4 ─3 ─2 ─1 0 1 2 3 4 5 →
submit
work it out
not feeling ready yet? these can help:

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( r \), we subtract 4 from both sides of the inequality \( 6r + 4 > 16 \). This gives us \( 6r + 4 - 4 > 16 - 4 \), which simplifies to \( 6r > 12 \).

Step2: Divide both sides by 6

To solve for \( r \), we divide both sides of the inequality \( 6r > 12 \) by 6. So, \( \frac{6r}{6} > \frac{12}{6} \), which simplifies to \( r > 2 \).

For graphing the solution:

• The endpoint is at \( r = 2 \). Since the inequality is \( r > 2 \) (not \( r \geq 2 \)), the endpoint is an open circle.
• The arrow points to the right (towards positive infinity) because we want all values of \( r \) greater than 2.

Answer:

The solution to the inequality \( 6r + 4 > 16 \) is \( r > 2 \). To graph it, plot an open circle at \( 2 \) on the number line and draw an arrow to the right.