Question

solve the inequality and graph the solution.
4h + 9 < 1
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 9 from both sides

To isolate the term with \( h \), we subtract 9 from both sides of the inequality \( 4h + 9 < 1 \). This gives us \( 4h + 9 - 9 < 1 - 9 \), which simplifies to \( 4h < -8 \).

Step2: Divide both sides by 4

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

Answer:

The solution to the inequality \( 4h + 9 < 1 \) is \( h < -2 \). To graph this, we place an open circle at \( -2 \) (since the inequality is strict, \( h
eq -2 \)) and draw an arrow to the left to represent all values less than \( -2 \).