1103034605
Level:
B
Given graphs of the functions \( f(x)=x^2+2x-3\) and \( g(x)=-x^2+3x-4 \), find the solution set of the following inequality.
\[ x^2+2x-3\leq-x^2+3x-4 \]
\( \emptyset \)
\( \mathbb{R} \)
\( (-\infty;0] \)
\( [-3;1] \)
B
1103034604
Level:
B
Given graphs of the functions \( f(x)=-2x^2+5x+3\) and \( g(x)=2x+1 \), find the solution set of the following inequality.
\[ -2x^2+5x+3 < 2x+1 \]
\( (-\infty;-0.5)\cup(2;\infty) \)
\( (-0.5;2) \)
\( (-\infty;-0.5)\cup(3;\infty) \)
\( (-0.5;3) \)
1103034603
Level:
B
Given graphs of the functions \( f(x)=x^2-6x+8\) and \( g(x)=-2x+4 \), find the solution set of the following inequality.
\[ x^2-6x+8\geq-2x+4 \]
\( \mathbb{R} \)
\( (-\infty;2]\cup[4;\infty) \)
\( \{2\} \)
\( [2;4] \)
1103034602
Level:
B
Given graphs of the functions \( f(x)=x^2-6x+8\) and \( g(x)=2x+1 \), find the solution set of the following inequality.
\[ x^2-6x+8>2x+1 \]
\( (-\infty;1)\cup(7;\infty) \)
\( (1;7) \)
\( (-\infty;2)\cup(4;\infty) \)
\( (1;\infty) \)
1103034601
Level:
B
Given graphs of the functions \( f(x)=x^2-6x+8\) and \( g(x)=-x^2-2x+24 \), find the solution set of the following inequality.
\[ x^2-6x+8\leq-x^2-2x+24 \]
\( [-2;4] \)
\( [2;4] \)
\( [0;24] \)
\( [-6;4] \)
1003029006
Level:
B
Find the solution set of the inequality.
\[ \left(x^4+1\right)\left(x^2+4\right) < 0 \]
\( \emptyset \)
\( (-\infty;-2)\cup(2;\infty) \)
\( (-2;-1)\cup(1;2) \)
\( (-1;1) \)
1003029005
Level:
B
Find the solution set of the inequality.
\[ \left(2x^2-18\right)\left(x^3-8\right) < 0 \]
\( (-\infty;-3)\cup(2;3) \)
\( (-3;2)\cup(3;\infty) \)
\( (-3;3) \)
\( (-\infty;-3) \)
1003029004
Level:
B
Find the solution set of the inequality.
\[ x^4-1\geq0 \]
\( (-\infty;-1]\cup[1;\infty) \)
\( [-1;1] \)
\( \mathbb{R} \)
\( [ 1;\infty ) \)
1003029003
Level:
B
Find the solution set of the inequality.
\[ \left(x^3+8\right)\left(x^4+1\right)\left(x-3\right) < 0 \]
\( (-2;3) \)
\( (-\infty;-2)\cup(3;\infty) \)
\( (-2;\infty) \)
\( (-\infty;-2)\cup(-1;1)\cup(3;\infty) \)
1003029002
Level:
B
Find the solution set of the inequality.
\[ \left(x^2-1\right)\left(x^2-3\right) > 0 \]
\( \left(-\infty;-\sqrt3\right)\cup(-1;1)\cup\left(\sqrt3;\infty\right) \)
\( \left(-\sqrt3;-1\right)\cup\left(1;\sqrt3\right) \)
\( \left(-\infty;-\sqrt3\right)\cup(1;\sqrt3)\cup\left(\sqrt3;\infty\right) \)
\( \left(-\infty;1\right)\cup\left(\sqrt3;\infty\right) \)