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consider the following inequality -3z-1>-7 write the solution using interval notation

Sagot :

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.