Answer:
(-∞, 2)
Step-by-step explanation:
-3z - 1 > -7
Step 1: Add 1 to both sides of the inequality:
-3z - 1 + 1 > -7 + 1
-3z > -6
Step 2: Divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality symbol:
z < (-6) / (-3)
z < 2
In interval notation, we represent this solution as (-∞, 2), which means all real numbers less than 2. The open interval notation indicates that 2 is not included in the solution set.
