Mathematics Functions and Inequalities

Flashcards covering key concepts from mathematical functions and inequalities, with evaluations and solving for variables.

What is the inequality represented by -1 < 9 + * < 17?

It encompasses a range of values for the variable represented by * that falls between -1 and 17.

Solve for x: x + 4 < 5

x < 1.

What does |x - 21| ≥ 6 signify?

The absolute value of x - 21 is greater than or equal to 6.

Evaluate f(x) = x - 5 when x = -3.

f(-3) = -3 - 5 = -8.

What is the evaluation result of 8(x) = -5x + 7 when x = -3?

8(-3) = -5(-3) + 7 = -24 = 15; However, this appears to be a misunderstanding in function notation.

Find x such that f(x) = 4x and f(x) = -32.

To find x, solve 4x = -32; thus, x = -8.

What does *(x) = x + 2 imply for r(x) = 4?

Set x + 2 equal to 4, solving gives x = 2.