Question

linear inequalities (level 1)
question
solve the following inequality for t. write your answer in simplest form.
7t + 3 > 2t + 6

Explanation:

Step1: Subtract 2t from both sides

To isolate the terms with \( t \), we subtract \( 2t \) from both sides of the inequality \( 7t + 3 > 2t + 6 \). This gives \( 7t - 2t + 3 > 2t - 2t + 6 \), which simplifies to \( 5t + 3 > 6 \).

Step2: Subtract 3 from both sides

Next, we subtract 3 from both sides to further isolate the term with \( t \). So, \( 5t + 3 - 3 > 6 - 3 \), which simplifies to \( 5t > 3 \).

Step3: Divide both sides by 5

To solve for \( t \), we divide both sides of the inequality \( 5t > 3 \) by 5. This gives \( \frac{5t}{5} > \frac{3}{5} \), which simplifies to \( t > \frac{3}{5} \).

Answer:

\( t > \frac{3}{5} \)