Solving inequality system 2x + 5 less than or equal to 3 (x + 2), (x-1) / 2 Math homework help users 2017-09-29 report Use this app to check the operation efficiently and accurately!

Solving inequality system 2x + 5 less than or equal to 3 (x + 2), (x-1) / 2 Math homework help users 2017-09-29 report Use this app to check the operation efficiently and accurately!

2x+5≤3(x+2)
2x+5≤3x+6
x≥-1
(x-1)/23x-3<2x
X<3
To sum up - 1 ≤ x < 3
So the positive solution is - 1,0,1,2

The solution set of inequality (x + 5) (3-2x) ≥ 6 is () A. {x | x ≤ - 1 or X ≥ 9 2} B. {x|-1≤x≤9 2} C. {x|x≤-9 2 or X ≥ 1} D. {x|-9 2≤x≤1}

Because the inequality (x + 5) (3-2x) ≥ 6 can be reduced to 2x2 + 7x-9 ≤ 0,
The factorization result is (2x + 9) (x-1) ≤ 0,
Can be converted into
2x+9≥0
X − 1 ≤ 0 or
2x+9≤0
X − 1 ≥ 0, the solution is - 9
2≤x≤1，
So the solution set of inequality (x + 5) · (3-2x) ≥ 6 is {x | - 9
2≤x≤1}．
Therefore, D

If the inequality system X 2+a≥2 If the solution set of 2x-b < 3 is 0 ≤ x < 1, then the value of a + B is___ .

By X
2 + a ≥ 2 leads to X ≥ 4-2a
From 2x-b < 3: x < 3 + B
Two
Therefore, the solution set of the original inequality system is: 4-2a ≤ x < 3 + B
Two
Because 0 ≤ x < 1
So we have: 4-2a = 0, 3 + B
2=1
The solution is: a = 2, B = - 1
So a + B = 1
So the answer is: 1

Given that {2x-a is less than 1 and x-2b is greater than 3, the solution set is - 1 less than x less than 1, then what is the value of (a + 1) multiplied by (B-1)?

From 2x-a < 1
X-2b > 3, X ＜ (a + 1) / 2, x > 2B + 3
∵ the solution set of the inequality is - 1 < x < 1
∴（a+1）/2=1
2b+3= -1
So a = 1, B = - 2
Then (a) = - 1) *

If inequality system 2x−a＜1 If the solution set of X − 2B > 3 is - 1 < x < 1, then the value of (a + 1) (B-1) is equal to______ .

Solving inequalities
2x−a＜1
The solution set of X − 2B > 3 is 2B + 3 < x < A + 1
Two
Because the solution set of inequality system is - 1 < x < 1, 2b + 3 = - 1, a + 1
2=1，
It is found that a = 1, B = - 2 is substituted by (a + 1) (B-1) = 2 × (- 3) = - 6
Therefore fill in - 6

It is known that the solution set of the inequality system x-a greater than or equal to B is 3 and less than or equal to X X-a is greater than or equal to B 2x-a

If x-a is greater than or equal to B, x > = a + B can be obtained
By 2x-a

It is known that x-a is greater than or equal to B + 1, 2x + A is less than 2B, and its solution set is 1 less than or equal to X and less than 3 Help me @ @ @ please do me a favor@@@

X-a > = B + 1 leads to x > = a + B + 1
X is obtained from 2x + a < 2B because 1 < = x < 3
a+b+1=1.（1）
b-a/2=3.（2）
According to (1) (2)
a=-2
B=2

It is known that the solution set of 2x-a < 1, x-2b > 3 is - 1 Math homework help users 2016-11-19 report Use this app to check the operation efficiently and accurately!

Inequality system 2x-a

System of known inequalities 2x−1＜a The solution set of X − 3 ＞ 2b is - 1 ＜ x ＜ 1. Find the value of (a + 1) (B + 2)

X < A + 1 is obtained from inequality 1
2. From inequality 2, x > 2B + 3 is obtained, and because the solution set of inequality system is - 1 < x < 1,
Qi
A+1
2＝1
2b+3＝−1
The solution
a＝1
b＝−2 ，
∴（a+2）（b+2）=（1+1）（-2+2）=0．

The square of (2x + y + 1) =? Is calculated by the multiplication formula, The square of (2x + y + 1) =? Is calculated by the multiplication formula,

Firstly, 2x + y is regarded as a whole, calculated by the complete square formula, and then simplified
The original formula = (2x + y) ^ 2 + 2 (2x + y) + 1
=(4X^2+4XY+Y^2)+4X+2Y+1
=4X^2+Y^2+4XY+4X+2Y+1