Question

solve the inequality and graph the solution.
1 + 4t > 9
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 -->
submit

Explanation:

Step1: Subtract 1 from both sides

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

Step2: Divide both sides by 4

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

Answer:

The solution to the inequality \( 1 + 4t > 9 \) is \( t > 2 \). To graph this, we draw an open circle at \( t = 2 \) (since the inequality is strict, \( t \) cannot equal 2) and draw a ray to the right of 2 to represent all values of \( t \) greater than 2.