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Неравенства 9 клас

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

Решетш неравенството

(х-5).(х-8) >0>0

a)

безброй много

решения

b)

хϵ(5)(8, )х\epsilon\left(-\infty„5\right)\cup\left(8,\ \infty\right)

c)

хϵ(5,8)х\epsilon\left(5,8\right)

d)

няма решение

2.

(2х+10).(3х18).(4х+40)0\left(2х+10\right).\left(3х-18\right).\left(4х+40\right)\le0

a)

няма решения

b)

хϵ,,5х\epsilon\lfloor-\infty,,5\rfloor

c)

хϵ(,,105,,5)х\epsilon\left(-\infty,,-10\rfloor\cup\lfloor-5,,5\rfloor\right)

d)

хϵ10,,5х\epsilon\lceil-10,,-5\rceil

3.

Решете неравенството

(х-7).(х-14).(х-34) 0\ge0

a)

(хϵ7„ 1434+)\left(х\epsilon\lceil7„\ 14\rceil\cup\lceil34„+\infty\right)

b)

няма решение

c)

хе (7,,14)

х е (34„ 35)

d)

х =6=6

4.

(х24)(х+3)(х4)(х+5)(х6)0\left(х^2-4\right)\left(х+3\right)\left(х-4\right)\left(х+5\right)\left(х-6\right)\le0

a)

хϵ5,,32,,24,,6х\epsilon\lceil-5,,-3\rfloor\cup\lfloor-2,,2\rfloor\cup\lfloor4,,6\rfloor

b)

х ϵ(5,,3)\epsilon\left(-5,,-3\right)

c)

х ϵ(2,,2)\epsilon\left(-2,,2\right)

d)

х ϵ(2,,4)\epsilon\left(2,,4\right)

5.

(3х+21)(12х)(58+х)<0\left(3х+21\right)\left(\frac{1}{2}-х\right)\left(\frac{5}{8}+х\right)<0

a)

няма решение

b)

хϵ(,,7)(0,625,,0,5)х\epsilon\left(-\infty,,-7\right)\cup\left(-0,625,,-0,5\right)

c)

х ϵ(7,,0,625)\epsilon\left(7,,0,625\right)

d)

хϵ(7,,0,5)х\epsilon\left(7,,0,5\right)

6.

(х281)(х2144)<0\left(х^2-81\right)\left(х^2-144\right)<0

a)

хе 12 и -12

b)

х е 9 и-9

c)

хϵ(12,,9)(9,,12)х\epsilon\left(-12,,-9\right)\cup\left(9,,12\right)

d)

нчма решение

7.

(х10)(х12)(х14)>0\left(х-10\right)\left(х-12\right)\left(х-14\right)>0

a)

хϵ(10,,12)(14,,+)х\epsilon\left(10,,12\right)\cup\left(14,,+\infty\right)

b)

няма решение

c)

х05,66х05,66

d)

хϵ(10,,14)х\epsilon\left(10,,14\right)

8.

Определете

графиката на функцията

как е разположена за

неравенството

5х24х6<0-5х^2-4х-6<0

a)

неопределена

b)

С върха на долу

c)

С върха на горе

d)

няма решение

9.

(х249)(х+50)0\left(х^2-49\right)\left(х^{ }+50\right)\ge0

a)

х ϵ(,+)\epsilon\left(-\infty,+\infty\right)

b)

хϵ50,,77,,+х\epsilon\lceil-50,,-7\rceil\cup\lfloor7,,+\infty

c)

х ϵ(7,,50)\epsilon\left(-7,,50\right)

d)

хϵ(7,,57)х\epsilon\left(-7,,57\right)

10.

(х225)(х236)0\left(х^2-25\right)\left(х^2-36\right)\le0

a)

хϵ(6,,6)х\epsilon\left(-6,,6\right)

b)

х ϵ(5,,6)\epsilon\left(5,,6\right)

c)

х ϵ(6,,5)\epsilon\left(6,,5\right)

d)

хϵ6,,55,,6х\epsilon\lceil-6,,-5\rceil\cup\lfloor5,,6\rfloor

11.

(х-6). (х+6)(х236)0\left(х+6\right)\left(х^2-36\right)\ge0

a)

х(,,66,,+)х\left(-\infty,,-6\rfloor\cup\lfloor6,,+\infty\right)

b)

(-6,,6)

c)

хϵ(+,,6)х\epsilon\left(+\infty,,6\right)

d)

хх

12.

(х+12)(х13)(х+14)(х15)(х+16)>0\left(х+\frac{1}{2}\right)\left(х-\frac{1}{3}\right)\left(х+\frac{1}{4}\right)\left(х-\frac{1}{5}\right)\left(х+\frac{1}{6}\right)>0

a)

хϵ(0,5,,0,3)х\epsilon\left(-0,5,,-0,3\right)\cup (0,17,,0,2)\left(-0,17,,0,2\right)\cup

(0.33,,+)\left(0.33,,+\infty\right)

b)

няма решение

c)

х ϵ(5,,25)\epsilon\left(5,,25\right)

d)

х ϵ(0,5,,0,17)\epsilon\left(0,5,,0,17\right)