Question

What is the inequality of 3*3/7

Answer 1

The solution to the inequality
`\(|x + 3| \geq 7\)` is
`\(x \leq -10\)` or
`\(x \geq 4\)`.

To solve the inequality
`\(|x + 3| \geq 7\)`, we can break it into two cases based on the expression within the absolute value:

1. Case 1:
`\(x + 3 \geq 7\) \[x + 3 \geq 7\]`

Subtract 3 from both sides:

`\[x \geq 4\]`

2. Case 2:
`\(-(x + 3) \geq 7\) \[-(x + 3) \geq 7\]`

Distribute the negative sign:

`\[-x - 3 \geq 7\]`

Add 3 to both sides:

`\[-x \geq 10\]`

Multiply both sides by
`\(-1\)` (reverse the inequality sign when multiplying by a negative number):

`\[x \leq -10\]`

So, the solution to the inequality
`\(|x + 3| \geq 7\)` is
`\(x \leq -10\) or \(x \geq 4\).`

The complete question is:
Solving linear inequalities

Look at the following inequality,

`\(|x + 3| \geq 7\)`