Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number.12z - 3 ≥ 2z - 15
Question
Solve the following inequality:
Then place the correct answer in the box provided. Answer in terms of a mixed number.
Solution
To solve the inequality 12z - 3 ≥ 2z - 15, we need to isolate the variable z on one side of the inequality sign.
Step 1: Start by subtracting 2z from both sides of the inequality: 12z - 2z - 3 ≥ 2z - 2z - 15 10z - 3 ≥ -15
Step 2: Next, add 3 to both sides of the inequality: 10z - 3 + 3 ≥ -15 + 3 10z ≥ -12
Step 3: Divide both sides of the inequality by 10: (10z)/10 ≥ (-12)/10 z ≥ -1.2
Therefore, the solution to the inequality 12z - 3 ≥ 2z - 15 is z ≥ -1.2.
Similar Questions
Which number line represents the solution to the inequality2.4x – 3 < –12.6 ?Responses
How many integer solutions are there for x + y + z + w = 15 if x ≥ 3,y > −2, z ≥ 1, w > −3?
Solve the inequality.
Solve the inequality 14≤-14-512𝑥 and write the solution using:Inequality Notation:
The average of 9z numbers is 12z. If 4z-2 is subtracted from each, then the new average is?Options10z - 28z - 212z + 28z + 2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.