Question
what are the 4 steps to solve −3x+5≤23
i need 4 steps in order
i need 4 steps in order
Answers
GPT 3.5
Step 1: Move the constant term to the other side by subtracting 5 from both sides of the inequality.
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18
Step 2: Divide both sides of the inequality by the coefficient of x, which is -3. However, since dividing by a negative number flips the inequality sign, we need to remember to reverse the inequality.
−3x/(-3) ≥ 18/(-3)
x ≥ -6
Step 3: The inequality is now in the form x ≥ -6, which means that the solution includes all values of x that are greater than or equal to -6.
Step 4: Express the solution in interval notation. Since there is no upper limit, we use the symbol "∞" to represent infinity.
The solution in interval notation is [-6, ∞).
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18
Step 2: Divide both sides of the inequality by the coefficient of x, which is -3. However, since dividing by a negative number flips the inequality sign, we need to remember to reverse the inequality.
−3x/(-3) ≥ 18/(-3)
x ≥ -6
Step 3: The inequality is now in the form x ≥ -6, which means that the solution includes all values of x that are greater than or equal to -6.
Step 4: Express the solution in interval notation. Since there is no upper limit, we use the symbol "∞" to represent infinity.
The solution in interval notation is [-6, ∞).