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.
To solve the linear inequality for x, we need to isolate the variable x on one side of the inequality sign.
Starting with −3x + 3 ≤ −9, let's first subtract 3 from both sides to eliminate the constant term on the left side:
−3x + 3 - 3 ≤ -9 - 3
−3x ≤ -12
Next, to isolate the variable x, we divide both sides of the inequality by -3. When dividing by a negative number, the inequality sign changes direction:
-3x / -3 ≥ -12 / -3
x ≥ 4
So, the solution to the inequality is x ≥ 4.