Jaden claims that all quadratic equations have two real solutions. Is he correct?

No

Step-by-step explanation:

Quadratic equations usually has two solutions. However, in some cases, the other solution may not be real. When using quadratic formula to get solution, the squareroot generates a positive and negative number. Finally, some negative numbers may not be realistic to conclude as solutions for example when you find x as -5 but the expression needs number of items. In other cases, the squareroot of the number may be that the number is negative eg √-12 hence we don't get real numbers in this case. The solutions must be two numbers but not all the numbers will be real numbers.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: