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.
−3x+3≤−9
Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Answers
GPT 3.5
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.
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.