Question

4a) Solve the inequality 6≥X+4.

A) X ≤ 2
B) X ≥ 10
C) X ≥ 6
D) X ≤ 10

Answer 1

To solve the inequality 6≥X+4, subtract 4 from both sides to get 2≥X, which simplifies to X≤2. The correct option is A) X ≤ 2.

Step-by-step explanation:

To solve the inequality 6≥X+4, we need to isolate the variable X. To do this, subtract 4 from both sides of the inequality:

6 - 4 ≥ X + 4 - 4

2 ≥ X

This translates to X ≤ 2, which means that the value of X can be 2 or any number less than 2 to satisfy the inequality. When dealing with inequalities, it is important to remember the direction of the inequality sign after performing operations on both sides. So the correct answer to the student's question is A) X ≤ 2.