Question

"Solve the inequality for x.

x ≥ –4

Answer 1

All values of x that are greater than or equal to -4 satisfy the inequality x ≥ -4.

Step-by-step explanation:

In an inequality, the symbol "≥" means "greater than or equal to". To solve this inequality for x, we want to isolate x on one side of the inequality.

First, we add a positive number to both sides of the inequality to move the constant term to the other side:

x ≥ -4

x + 4 ≥ -4 + 4

x + 4 ≥ 0

Next, we want to isolate x by subtracting a positive number from both sides of the inequality:

x + 4 - 4 ≥ 0 - 4

x ≥ -4 (rounded)

Therefore, all values of x that are greater than or equal to -4 satisfy the original inequality x ≥ -4. This can be written as an interval on the number line: [-4, infinity).

Answer 2

To solve the inequality x ≥ -4, mark -4 as the boundary point on a number line and shade everything to the right of it.

Step-by-step explanation:

Inequality is a mathematical concept representing a relation between two expressions that may not be equal. If you have a specific question about inequalities or if there's a particular context you're referring to, please provide more details so I can assist you more effectively. Whether it's related to mathematics, social issues, or any other field, additional information will help me provide a more accurate and relevant response.

To solve the inequality x ≥ -4, we can set up a number line and mark -4 as the boundary point. Since the inequality is inclusive (≥), we include the boundary point -4 and shade everything to the right of it. This represents all values of x that are greater than or equal to -4.