Question

Draw a number line of each quadratic inequality

1. x²- x + 2 ≤ 0
2. x² + 7x + 12 ≥ 0
3. x² + 9x + 18 ≤ 0
4. m² - 7m ≤ 10
5. 2x²- 3x - 14 ≤ 0​

Answer 1

The first equation does not have any, as x^2 always makes the values postive, which causes it to always be greater than 0.

Explanation:

The second inequality is x is less than or equal to 4, and greater than or equal to negative 3.

The third inequality is x is greater then or equal to negative 6, and less than negative 3.

The fourth inequality was a bit strange, it gave results that were difficult to graph. However, it seems m is less than or equal to negative 1.2, and greater than or equal to 8.2.

The fifth inequality is x is greater than or equal to negative 2, and less than or equal to 7/2.

Hope this helps!