Inequalities
Solve, graph the solution set and write in interval notation
18x + 45 < 12x - 8
(-infinity, -4)
Factor
16x^3 +24x^2
Find the square root of 0.49.
0.7
Simplify
25^(3/2)
125
Solve, write the solution in interval notation, and graph the solution set.
-3 < (2/3)x - 5 < -1
Factor
3x^2 +22x +7
(x+7)(3x+1)
Find the cube root of -125x^3
-5x
Simplify
(-27)^(2/3)
9
Solve, write the solution set and graph.
5x -2 > 13 or 5x -2 < -13
(-infinity, -11/5) U (3, infinity)
Factor
6x^3 +5x^2 - 4x
x(3x+4)(2x-1)
Simplify the radical:
The square root of 40x
2 times the square root of 10x.
(8x^6 y^3)^(1/3)
2x^2 y
Solve, write the solution set, and graph.
2x + 1 > 4x -3 and x-1 >= 3x +5
(-infinity, -3]
Factor
12x^2 - 3y^2
3(2x+y)(2x-y)
Simplify the radical
The cube root of 81x^8 y^6
3x^2 y^2 times the cube root of 3x^2
(4374x^21)^(1/7)
3x^3 times the 7th root of 2