HEL please determine whether each number is a solution of the given inequality
2m-4 ≥ 10

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.