Find the value of t in the inequality −3t>−13−2
To find the value of t in the inequality −3t > −13 − 2, we need to isolate t on one side of the inequality symbol.
First, subtract -2 from both sides of the inequality:
−3t > −13 − 2 - 2
−3t > −13 - 4
−3t > -17
Next, divide both sides of the inequality by -3. When we divide an inequality by a negative number, we flip the inequality symbol.
t < -17/(-3)
t < 17/3
To find the value of t in the inequality −3t > −13 − 2, we need to isolate t on one side of the inequality symbol by performing the necessary mathematical operations step-by-step. Here's how:
Step 1: Simplify the right side of the inequality:
-13 - 2 = -15
So, the inequality becomes −3t > -15.
Step 2: Divide both sides of the inequality by -3. Since we are dividing by a negative number, the inequality symbol flips:
t < -15 / -3
This simplifies to:
t < 5
Therefore, the value of t in the inequality −3t > −13 − 2 is t < 5.