Solve each inequality. Give the solution set using interval notation. 3/x+2 > 2/x-4

Work each problem. Show that √2/2 + √2/2 i is a square root of i.

Solve each equation. See Examples 8 and 9. x^-2/3+x^-1/3-6=0

Solve each equation. See Examples 8 and 9. 2x^-2/5-x^-1/5-1=0

Solve each equation for the specified variable. (Assume all denominators are nonzero.) d=k√h, for h

Work each problem. Show that -2+i is a solution of the equation x²+4x+5=0.

Answer the following. Why must -4 be in the solution set of $\frac{x+4}{2x+1}\ge 0$? (Do not solve the inequality.)

Solve each equation for the specified variable. (Assume all denominators are nonzero.) x^2/3+y^2/3=a^2/3, for y

Work each problem. Show that -3+4i is a solution of the equation x²+6x+25=0.

Solve each equation for the specified variable. (Assume all denominators are nonzero.) 1/R=1/r_1 + 1/r_2, for R

Solve each equation or inequality.

$\mid 7/2-3x\mid -9=0$

Solve each equation or inequality.

$\mid 5x-1\mid =\mid 2x+3\mid$

Solve each equation or inequality.

$\mid x+10\mid =\mid x-11\mid$

Solve each equation or inequality.

$\mid 8-5x\mid \ge 2$

Solve each equation or inequality.

$\mid 7x-3\mid >4$

Solve each equation or inequality.

$\mid 7x+8\mid -6>-3$

Solve each equation or inequality.

$\mid 4x-12\mid \ge -3$

Write each statement using an absolute value equation or inequality. p is at least 3 units from 1.