–77>–85–4m
To find the value of m, we can first simplify the equation:
-77 > -85 - 4m
To get rid of the negative signs, we can multiply both sides of the equation by -1:
77 < 85 + 4m
Next, we can subtract 85 from both sides:
77 - 85 < 4m
Simplifying further, we have:
-8 < 4m
Finally, we can divide both sides by 4 to solve for m:
-8/4 < m
-2 < m
Therefore, the value of m is greater than -2.
To solve the inequality –77 > –85 – 4m, we need to isolate the variable m.
Step 1: Simplify the expression by combining like terms on the right side.
–77 > –89 – 4m
Step 2: Move the constant term (-89) to the left side by adding 89 to both sides.
–77 + 89 > –89 + 89 – 4m
12 > –4m
Step 3: Divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to flip the inequality symbol.
12 / -4 < –4m / -4
-3 < m
So, the solution to the inequality –77 > –85 – 4m is m > -3.
To understand this better, let's check it using a number line.
We have m > -3, which means any value of m greater than -3 will satisfy the inequality. Starting from -3 on the number line, we can choose any value greater than -3 such as -2, 0, 1, 2, and so on. All these values are greater than -3 and will make the inequality true.
To solve the inequality –77 > –85 – 4m, follow these steps:
Step 1: Simplify the right side of the inequality by subtracting -85 from -4m:
-85 - 4m = -4m - 85
Step 2: Combine like terms:
-4m - 85
Step 3: Move the variable term to the left side of the inequality and constant term to the right side by adding 4m to both sides:
-4m - 85 + 4m > 0
Step 4: Simplify the left side of the inequality:
0 > 4m - 85
Step 5: Move the constant term to the left side by adding 85 to both sides:
0 + 85 > 4m
Step 6: Simplify the left side of the inequality:
85 > 4m
Step 7: Divide both sides of the inequality by 4 to solve for m:
85/4 > m
Step 8: Simplify the left side of the inequality:
21.25 > m
Therefore, the solution to the inequality –77 > –85 – 4m is m < 21.25.