Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long.

Write an inequality to determine the number of months, [tex]m[/tex], it will take Svetlana's hair to grow so it is at least 7 centimeters long.

A. [tex]1.5m - 4 \geq 7[/tex]
B. [tex]4 + 1.5m \leq 7[/tex]
C. [tex]1.5m - 4 \leq 7[/tex]
D. [tex]1.5m + 4 \geq 7[/tex]

Svetlana’s hair starts at 4 centimeters, and after [tex]$ m $[/tex] months, her hair will be

[tex]$$
4 + 1.5m
$$[/tex]

centimeters long. Since she wants her hair to be at least 7 centimeters long, we set up the inequality:

[tex]$$
4 + 1.5m \geq 7.
$$[/tex]

This inequality ensures that after [tex]$ m $[/tex] months, her hair reaches the desired length.

To check for the number of months required, subtract 4 from both sides:

[tex]$$
1.5m \geq 3.
$$[/tex]

Then, divide both sides by 1.5:

[tex]$$
m \geq 2.
$$[/tex]

This tells us Svetlana needs at least 2 months for her hair to be at least 7 centimeters long.

Among the provided options, the correct inequality is:

[tex]$$
1.5m + 4 \geq 7.
$$[/tex]]