Gateway Quiz Section08SolvingInEqTest

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Problem 1.

(1 point)

For what values of $x$ is $(x-1)(x-2) \le(x-1)$ ?
A. $x\le 3$
B. $1\le x\le3$
C. $x\ge 3$
D. $x\le 1$ and $x\ge 3$
E. $x<1$ and $1<x\le 3$

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Problem 2.

(1 point)

For what values of $w$ is $|3w-2|-4<0$ ?
A. $w<2$
B. $w>{2\over 3}$
C. $-{2\over3}<w<2$
D. $w<-{2\over3}$ and $w>2$
E. $w>-{2\over3}$

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Problem 3.

(1 point)

For what values of $t$ is $-3t^3(2-t)<0$ ?
A. $0<t<2$
B. $t<0$ and $t>2$
C. $t e0$ and 2
D. $t<0$ and $0<t<2$
E. $t<2$

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Problem 4.

(1 point)

For what values of $x$ is $3x^2-3x$ negative?
A. $0<x<1$
B. $x<-1$
C. $x<0$ and $x>1$
D. $-1<x<0$
E. $x<0$

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Problem 5.

(1 point)

For what values of $x$ is $3x+2<9x^2+4$ ?
A. $-\infty<x<\infty$
B. $x>0$
C. $-{1\over3}<x<{2\over3}$
D. the inequality has no solutions
E. $x<-{1\over3}$ and $x>{2\over3}$

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Problem 6.

(1 point)

For what values of $x$ is $2xe^x + x^2e^x$ negative or zero?
A. $-2\le x\le 2$
B. $x\le -2$ and $x \ge 0$
C. $0\le x\le 2$
D. $x\le 0$ and $x\ge 2$
E. $-2\le x\le 0$

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Problem 7.

(1 point)

For what values of $u$ is $|5u+2|-3\ge 0$ ?
A. $u\le-1$ and $u\ge{1\over5}$
B. $-1\le u\le {1\over5}$ and $x > {1\over 5}$
C. $-1\le u\le {1\over5}$
D. $u\ge -1$
E. $u\ge {1\over5}$

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Problem 8.

(1 point)

For what values of $x$ is $x^2+4x+4$ positive?
A. $x<-2$ and $x>2$
B. $x>2$
C. $-2<x<2$
D. $x\le -1$ and $x\ge 1$
E. $x e -2$

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Problem 9.

(1 point)

For what values of $x$ is $2^{-x}$ negative?
A. $x e 0$
B. $x > 0$
C. for no values of $x$
D. $-\infty<x<\infty$
E. $x < 0$

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Problem 10.

(1 point)

For what values of $h$ is $(h+2)(h+1)\ge 2(h+1)$ ?
A. $h\ge -2$
B. $h\le -2$ and $h\ge -1$
C. $h\le -1$ and $h\ge 0$
D. $h\ge 0$
E. $h\le 0$

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