Question

solve the inequality and graph the solution.
2 < -4 + 3t
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

Explanation:

Step1: Add 4 to both sides

To isolate the term with \( t \), we add 4 to both sides of the inequality \( 2 < -4 + 3t \). This gives \( 2 + 4 < -4 + 4 + 3t \), which simplifies to \( 6 < 3t \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 6 < 3t \) by 3 to solve for \( t \). So, \( \frac{6}{3} < \frac{3t}{3} \), which simplifies to \( 2 < t \) or \( t > 2 \).

Answer:

The solution to the inequality is \( t > 2 \). To graph this, we plot an open circle at \( t = 2 \) (since the inequality is strict, \( t
eq 2 \)) and draw an arrow to the right (indicating all values greater than 2).