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Solution to the problem of mathematical inequality in grade two of junior high school
2x-m & gt; 2

x & gt(m+2)/2

Simultaneously 3x-2m

x & lt(2m- 1)/3

If the inequality group has no solution

Then (2m- 1)/3

4m-2 & lt; =3m+6

m & lt=8

( 1) x+y=-7-a....( 1)

x-y= 1+3a....(2)

( 1)+(2)

2x=2a-6

x = a-3 & lt; = 0 a & lt=3

( 1)-(2)

2y=-8-4a

y =-4-2a & lt; 0a & gt; -2

sulphur dioxide

(2)|a-3|+|a+2|

Because -2

So the original formula =3-a+a+2.

=5

(3)2ax+x & gt; 2a+ 1

(2a+ 1)x & gt; 2a+ 1

Obviously, only when 2a+ 1 < 0, x < 1.

So 2a+ 1 < 0 and -2 at the same time.

-2 & lt; a & lt- 1/2

Because a is an integer.

So a=- 1

(1) According to the meaning of the question, the daily turnover of the whole shopping mall (600,000 yuan) is X (1 10,000 yuan), Y (1 10,000 yuan), Z (1 10,000 yuan) (X, Y and Z are all integers), so X+. ...................................................

From the table (1), 190 salespeople are assigned to department stores, clothing departments and household appliances departments with 5 x, 4 y and 2 z respectively, so 5 x+4 y+2 z = 190. ......

Taking x as a known number, we can solve the equations composed of ① and ②.

y=35-3x/2,

z=25+x/2

(2)

The total daily profit of shopping malls consists of the profits of department stores, clothing departments and household appliances departments. According to Table (2), the estimated daily total profit of this mall is C (ten thousand yuan).

And 19≤C≤ 19.7, that is, c = 0.3x+0.5 (35-1.5x)+0.2 (25+0.5x) = 22.5-0.35x, and the solution is 8 ≤ x ≤/kl.

Note that x is an integer, so x = 8,9 or 10.

When x = 8, y = 23 and z = 29, at this time, 5 x = 40, 4 y = 92 and 2 z = 58;

When x = 9, y and z are not integers;

When x = 10, y = 20 and z = 30, at this time, 5 x = 50, 4 y = 80 and 2 z = 60.

Therefore, in order to make the total estimated daily profit c of shopping malls meet 19≤C≤ 19.7, the turnover to be allocated to department stores, clothing departments and household appliances departments is 823,290 yuan respectively, and correspondingly, the sales staff to be allocated to department stores, clothing departments and household appliances departments is 40,925. Or the turnover allocated to department stores, clothing departments and household appliances departments is 65,438+0,203,000 yuan respectively, and correspondingly, there are 50,806 salespeople allocated to department stores, clothing departments and household appliances departments.