−3z>24−3𝑧>24Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
−3z>24−3𝑧>24Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Solution
To solve the inequality -3z > 24, you need to isolate z.
Step 1: Divide both sides of the inequality by -3. Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
So, -3z / -3 < 24 / -3
This simplifies to:
z < -8
So, the solution to the inequality -3z > 24 is z < -8.
Similar Questions
−3z>24−3𝑧>24Step 2 of 2 : Graph the solution to the given inequality.
2(−3z+4)>−2z−122(−3𝑧+4)>−2𝑧−12Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
2z−32<122𝑧−32<12Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
−2z+3<−5−2𝑧+3<−5Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
2z−4≤−3z+62𝑧−4≤−3𝑧+6Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
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.