13-3m (< = ) –4m
is 13-m greater than or eual to -4m
No. < means less than. 13-3m is less than or equal to -4m.
To determine if 13-3m is greater than or equal to -4m, we need to simplify the expression and compare the values.
Given: 13-3m ≤ -4m
Let's simplify the expression by moving all terms involving "m" to one side of the inequality:
13 - 3m ≤ -4m
To move -3m to the other side, we need to add 3m to both sides:
13 - 3m + 3m ≤ -4m + 3m
This simplifies to:
13 ≤ -m
To isolate the variable "m", we need to multiply both sides of the inequality by -1. When multiplying or dividing an inequality by a negative number, the direction of the inequality sign flips:
-1 * 13 ≥ -1 * (-m)
-13 ≥ m
So, the simplified inequality is m ≤ -13.
Now we can compare this inequality to our original question: Is 13-m greater than or equal to -4m?
No, 13-m is not greater than or equal to -4m. The inequality m ≤ -13 means that m is less than or equal to -13, which is the opposite of what is being asked in the original question.