Question
Consider the following inequality:
−3x+3≤−9
Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation. is this real numbers or no solution for the answer
−3x+3≤−9
Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation. is this real numbers or no solution for the answer
Answers
GPT 3.5
To solve the inequality -3x + 3 ≤ -9, we need to isolate the variable x on one side of the inequality sign.
Step 1: Subtract 3 from both sides of the inequality:
-3x + 3 - 3 ≤ -9 - 3
This simplifies to:
-3x ≤ -12
Step 2: Divide both sides of the inequality by -3. Remember, when we divide an inequality by a negative number, the inequality sign flips.
-3x / -3 ≥ -12 / -3
Simplifying further, we have:
x ≥ 4
So, the solution to the inequality is x ≥ 4.
Therefore, the answer is real numbers.
Step 1: Subtract 3 from both sides of the inequality:
-3x + 3 - 3 ≤ -9 - 3
This simplifies to:
-3x ≤ -12
Step 2: Divide both sides of the inequality by -3. Remember, when we divide an inequality by a negative number, the inequality sign flips.
-3x / -3 ≥ -12 / -3
Simplifying further, we have:
x ≥ 4
So, the solution to the inequality is x ≥ 4.
Therefore, the answer is real numbers.