negative three times the number plus four is no more than the number minus eight
-3x + 4 <= x-8.
X>4
To solve this equation, we need to translate the given statement into an algebraic expression.
Let's assume the unknown number is represented by "x."
According to the given statement, "negative three times the number plus four is no more than the number minus eight." We can express this in equation form as:
-3x + 4 ≤ x - 8
Now, let's solve this equation step by step:
Step 1: Get rid of any parentheses or distribute any coefficients.
-3x + 4 ≤ x - 8
Step 2: Combine like terms on each side of the equation.
-3x - x ≤ -8 - 4
-4x ≤ -12
Step 3: Simplify the equation and isolate the variable.
Divide both sides of the inequality by -4. Since we are dividing by a negative number, the inequality will flip.
x ≥ (-12) / (-4)
x ≥ 3
The solution to the given inequality is x ≥ 3. This means any number greater than or equal to 3 would satisfy the inequality.