Question

solve the inequality and graph the solution.
6 + 2t < 10
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.
submit

Explanation:

Step1: Subtract 6 from both sides

To isolate the term with \( t \), we subtract 6 from both sides of the inequality \( 6 + 2t < 10 \). This gives us \( 6 + 2t - 6 < 10 - 6 \), which simplifies to \( 2t < 4 \).

Step2: Divide by 2

Next, we divide both sides of the inequality \( 2t < 4 \) by 2 to solve for \( t \). So, \( \frac{2t}{2} < \frac{4}{2} \), which simplifies to \( t < 2 \).

Answer:

The solution to the inequality \( 6 + 2t < 10 \) is \( t < 2 \). To graph this, we plot an open circle at \( t = 2 \) (since the inequality is strict, \( t \) is not equal to 2) and draw a ray to the left of 2 on the number line.