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
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.