Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line.

$|x-4|<0.02$

Solve the inequality and sketch the solution on the real number line. (Some inequalities have no solution.)

$$|3-4 x| \geq 9$$

Write the reciprocal. 7

Write the logarithmic for of $y=8^x$.

A box of volume V has a movable partition separating it into two compartments. The left compartment contains 3000 particles, the right one contains 1000 particles, and initially the partition is in the middle so that the compartments are of equal volume. The partition is released and slides horizontally until the system is in a new equilibrium state. (a) In terms of V, what is the volume of each compartment once the new equilibrium state is reached? (b) What is the change in the system’s entropy during this process?

Solve the given equation. If necessary, round to the nearest hundredth. If there is no real-number solution, write no solution.

$$z^2-8 z=-13$$

Write 10.01 with words.

Find the value of each of the six trigonometric functions for the angle, in standard position, whose terminal side passes through the given point.

$\boldsymbol{P}(0,2)$

Complete the indicated subtraction. $1.4-(-1.4)$

Graph the linear system and estimate the solution. Then check the solution algebraically.
3x - y = 8
$\frac1 3$x - $\frac1 6$y = 1

Are subtraction and division commutative? Why or why not?

Solve each equation. Write the exact solution and the approximate solution to the nearest hundredth, when appropriate. $\\$$\log _2 7=x$

Solve and graph the solution set. Write the solution set using set-builder notation.

$$\dfrac{x+2}{x-3}>0$$

a. How many terms does the series have? b. Write the series in $\Sigma$-notation. c. Use the Finite Geometric Series Formula to evaluate the series. 5+10+20+40+...+5$\cdot 2^7$