Pre-calculus; linear inequalities

[priscilla98]

Homework Statement

1. 9x^2 + 12x + 4 ≥ 0

2. 2 - 5x - 3x^2 ≤ 0

Homework Equations

The Attempt at a Solution

1. Can't you factor this into (3x + 2) (3x + 2)?
2. Looking at this inequality, I am thinking if you can change this inequality into 3x^2 + 5x + 2.

 

[LCKurtz]

Homework Statement

1. 9x^2 + 12x + 4 ≥ 0

2. 2 - 5x - 3x^2 ≤ 0

Homework Equations

The Attempt at a Solution

1. Can't you factor this into (3x + 2) (3x + 2)?

Yes, you can. So what is your conclusion about the x that satisfy it?

2. Looking at this inequality, I am thinking if you can change this inequality into 3x^2 + 5x + 2.

What you have changed it into isn't an inequality and you likely have a sign error. Did you mean to write 3x² + 5x - 2 ≥ 0? If so, what next?

Also, your title says linear inequalities. These aren't linear inequalities; they are quadratic inequalities.