Question

solve the inequality and graph the solution.
2g + 4 < 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 4 from both sides

To isolate the term with \( g \), we subtract 4 from both sides of the inequality \( 2g + 4 < 2 \). This gives us \( 2g + 4 - 4 < 2 - 4 \), which simplifies to \( 2g < -2 \).

Step2: Divide both sides by 2

To solve for \( g \), we divide both sides of the inequality \( 2g < -2 \) by 2. So, \( \frac{2g}{2} < \frac{-2}{2} \), which simplifies to \( g < -1 \).

Answer:

The solution to the inequality \( 2g + 4 < 2 \) is \( g < -1 \). To graph this, we place an open circle at \( g = -1 \) (since the inequality is strict, \( g
eq -1 \)) and draw an arrow to the left to represent all values of \( g \) less than -1.