Find the value of t in the inequality 2−3t>−13
To solve the inequality 2 - 3t > -13, we need to isolate the variable t.
First, we can subtract 2 from both sides of the inequality:
2 - 3t - 2 > -13 - 2
This simplifies to -3t > -15.
Next, we divide both sides of the inequality by -3, remembering to reverse the inequality sign because we are dividing by a negative number:
(-3t) / -3 < -15 / -3
This simplifies to t < 5.
Therefore, the value of t that satisfies the inequality is any number less than 5.
To find the value of t in the inequality 2 - 3t > -13, we will solve for t:
1. Start by subtracting 2 from both sides of the inequality:
2 - 3t - 2 > -13 - 2
Simplifying, we have:
-3t > -15
2. Next, divide both sides of the inequality by -3 (note that since we are dividing by a negative number, the inequality sign will flip):
-3t / -3 < -15 / -3
Simplifying, we have:
t < 5
Therefore, the value of t that satisfies the inequality 2 - 3t > -13 is any number less than 5.