Question

Use the drop-down menus to complete the statement about the inequality m ≥ 2.


The inequality m ≥ 2 has _____ solutions because ______ can be substituted for m to make this inequality true.
Options: for the first one 0 1 2 8 9 Infinitely many For the second one: No numbers only 1 number 2 and any number to the right of 2 on the number line

Answer 1

The inequality $m\geq 2$ has infinitely many solutions because any number to the right of 2 on the number line can be substituted form m to make this inequality true.

Explanation:

The inequality $m\geq 2$ means is the set of all possible real values of m which are greater than or equal to 2.

Hence, the inequality $m\geq 2$ contains infinitely many solutions.

To make this inequality true, we can substitute any value from the right of 2 on the number line for $m\geq 2$ in the equation, such that the inequality becomes true.

Hence, any number to the right of 2 on the number line can be substituted form m to make this inequality true.

Answer 2

Answer:

The inequality m ≥ 2 has infinity many solutions because 2 and any number to the right of 2 on the number line can be substituted for m to make this inequality true.