Solve the following inequality. (1) x2-7 + 12 > 0 (2) - x2-2x + 3 ≥ 0 (3) x2-2x + 1 < 0 (4) x2-2x + 12 < 0

Solve the following inequality. (1) x2-7 + 12 > 0 (2) - x2-2x + 3 ≥ 0 (3) x2-2x + 1 < 0 (4) x2-2x + 12 < 0

(1)X2-7x+12＞0
(x-3)(x-4)>0
x>4 or x

Solve the following inequality about x 1. - x2 + 2x-2 / 3 > 0.2. - 1

(3-radical 3) / 3 & lt; X & lt; (3 + radical 3) / 3
-3 = & lt; X & lt; - 2 & nbsp; and 0 & lt; X & lt; = 1
When a is less than 1, X & lt; a or & nbsp; X & gt; 1
When a is greater than 1, X & lt; 1 or & nbsp; X & gt; a
When a is equal to 1, X has no solution

Solving inequality 1 ＞ - X2 - 2x + 8 ≥ 0

The inequality is reduced to x ^ 2 + 2x-8 ≤ 0 (1) and x ^ 2 + 2x-7 > 0 (2)
The solution is - 4 ≤ x ≤ 2
Solution 2 gives x ＞ - 1 + 2 √ 2 or X ＜ - 1-2 √ 2
The intersection is - 4 ≤ x ＜ - 1-2 √ 2 or - 1 + 2 √ 2 ＜ x ≤ 2
The solution set of the inequality is [- 4, - 1-2 √ 2) ∪ (- 1 + 2 √ 2,2]

(2x + 1) / (x2-x + 1) ≤ 0

X2-x + 1 is constant greater than 0
So as long as the numerator is less than or equal to 0, it is the answer
That is, X ≤ - 1 / 2

Solve the following inequality: (1) 2x-3 / x + 7 = 0

First, move the item first

Solving inequality | x2-5x + 6|

|X2-5x + 6 | = | (X-2) (x-3) | (2), the intersection is x > 3
When 22 or X

Given a-5 > 0, the solution set of inequality ax ≤ 5x + 2a-1 is______ ．

The results show that ax-5x ≤ + 2a-1, that is, (a-5) x ≤ 2a-1 and ∵ a-5 ＞ 0, X ≤ 2A − 1a − 5

Given a-5 > 0, the solution set of inequality ax ≤ 5x + 2a-1 is______ ．

The results show that ax-5x ≤ + 2a-1, that is, (a-5) x ≤ 2a-1 and ∵ a-5 ＞ 0, X ≤ 2A − 1a − 5

Given a < 5, then the solution set of the inequality ax + 10 > 5x + 2A about X is

ax+10>5x+2a
(a-5)x>2a-10
∵ a

On the inequality x ˇ 2 - (A-1) X-1 of X
A （-3/5,1] B(-1,1) C(-1,1] D(-3/5,1)

Satisfy B ^ 2-4ac