Question

solve the inequality and graph the solution.
10 + 2c > 2
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( c \), we subtract 10 from both sides of the inequality \( 10 + 2c > 2 \). This gives us \( 10 + 2c - 10 > 2 - 10 \), which simplifies to \( 2c > -8 \).

Step2: Divide both sides by 2

To solve for \( c \), we divide both sides of the inequality \( 2c > -8 \) by 2. This gives us \( \frac{2c}{2} > \frac{-8}{2} \), which simplifies to \( c > -4 \).

Answer:

The solution to the inequality \( 10 + 2c > 2 \) is \( c > -4 \). To graph this, we plot an open circle at \( -4 \) (since the inequality is strict, \( c \) is not equal to \( -4 \)) and draw a ray to the right of \( -4 \) on the number line.