To solve the inequality (5(x - 2)(x - 4) \geq 0), we first find the critical points by setting the expression equal to zero: (x - 2 = 0) and (x - 4 = 0), giving us (x = 2) and (x = 4). The sign of the expression changes at these points. Testing intervals around these points, we find that the solution set is (x \leq 2) or (x \geq 4). Thus, the solution set is ((-\infty, 2] \cup [4, \infty)).
2x-6 < 5+7x 2x-7x < 5+6 -5x < 11 x > -2.5
To solve the inequality (-2x + 8 < 5x + 2x + 1), first combine like terms on the right side: (5x + 2x = 7x). The inequality simplifies to (-2x + 8 < 7x + 1). Next, add (2x) to both sides, resulting in (8 < 9x + 1). Subtract (1) from both sides to get (7 < 9x), and then divide by (9) to find (x > \frac{7}{9}). Thus, any value greater than (\frac{7}{9}) satisfies the inequality.
That all depends.Is it:ln (2x+9) = ln (5x)If it is, the solution can be found by solving 2x+9 = 5x, in which case the answer is x = 3.
x = -5
3(x + 7) > 5x - 13 3x + 21 > 5x - 13 21 + 13 > 5x - 3x 34 > 2x 17 > x The solution set: {x| x < 17}
graph the inequality 5x+2y<4
2x-6 < 5+7x 2x-7x < 5+6 -5x < 11 x > -2.5
To solve the inequality (-2x + 8 < 5x + 2x + 1), first combine like terms on the right side: (5x + 2x = 7x). The inequality simplifies to (-2x + 8 < 7x + 1). Next, add (2x) to both sides, resulting in (8 < 9x + 1). Subtract (1) from both sides to get (7 < 9x), and then divide by (9) to find (x > \frac{7}{9}). Thus, any value greater than (\frac{7}{9}) satisfies the inequality.
That all depends.Is it:ln (2x+9) = ln (5x)If it is, the solution can be found by solving 2x+9 = 5x, in which case the answer is x = 3.
-5x + 4 > -2x + 31 add 2x and subtract 4 to both sides; -3x > 27 divide by -3 to both sides and change the symbol of the inequality; x < 9
x = -5
3(x + 7) > 5x - 13 3x + 21 > 5x - 13 21 + 13 > 5x - 3x 34 > 2x 17 > x The solution set: {x| x < 17}
The given expression has no solution but it can be simplified to: 5x-1045
2x2+5x-3 = 0 (2x-1)(x+3) = 0 x = 1/2 or x -3
5x-2x = 3
5x+2x=7x2x + 5x = 7x
5x - 2x = 3x