2010004503 Level: BSolve the following inequality. (5−2x)(7x+3)≥0x∈[−37;52]x∈[−52;37]x∈(−∞;−37]x∈(52;∞)
2010004504 Level: BThe solution set of one of the following quadratic inequalities is the interval [−3;2]. Determine this inequality.x2+x−6≤0x2+x−6≥0x2−x−6≤0x2−x−6≥0x2+x+6≥0
2010004505 Level: BFind all the values of x at which the following expression attains negative value. 2x2−7x−4x∈(−12;4)x∈(−∞;−12)∪(4;∞)x∈(−4;12)x∈(−∞;−4)∪(12;∞)x∈(−4;−12)
2010007303 Level: BThe area of the rectangle is 735cm2. Its length is by 14cm longer than its width. Find the perimeter of the rectangle.112cm56cm252cm92cm
2010007305 Level: BOne side of a rectangle is 40% longer than the other. The length of the diagonal is 666cm. Find the area of the rectangle.315cm2777cm2140cm2135cm2
2010007901 Level: BThe solution set of one of the following inequalities is (−∞;−2)∪(5;∞). Identify this inequality.x2−3x−10>0x2+3x−10>0x2−3x−10<0x2+3x−10<0
2010007902 Level: BFor an integer variable x, find the solution set of the following quadratic inequality. 2x2+5x−12<0{−3;−2;−1;0;1}{−4;−3;−2;−1;0;1}{−4;−3;−2;−1;0;1;2}{−1;0;1;2;3}
2010007904 Level: BFind out, how many integer solutions the following inequality has. x2+3x−1≤0More than three integer solutions.Three integer solutions.Less than three integer solutions.
2010007905 Level: BFind all x such that the expression 2x2+8 is negative.No such x exists.x∈Rx∈(−2;2)x∈(−∞;−2)∪(2;+∞)
9000020406 Level: BThe ratio of the sides of a rectangle is 3:4. The length of the diagonal is 100cm. Find the perimeter of the rectangle.280cm150cm480cm300cm