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Type:—5 (Quadratic expression), , 1. Solve the following ingvalities:— j, (i) x°-3x+2>0 (ii) -2x? = 3x +7 <0, (iii) x? +x+1>0 (iv) x? = 3x +1720, , (v)-5x?+2x-11>0 (vi) 3x7=-x +5<0, , (vii) 4x7=12x+9>0 (viii) 4x?- 12x + 9>, , (ix) 4x?= 12x +9 <0 (x) 4x?— 12x +9 <0, , (xi) K2x?+x=5/<2 (xii) x2 +x —5] <0, , (xiii) x? +x + 1]>4 (xiv) |x? + x] -5 <0, , (xiv) the set of all real x for which x? —|x+2| + x > 0 is, (a) (®,-2)U (2,0), , (b) (2 -V2)U (V2, 2)U C0 -I)U (1,0, , (d) n.o.t., Sep Find all real values of ‘a’ for which ax? +x + 1 > 0Vx, , ER, , 3 Find the values of ‘c’ for which cx” + 6cx — 12 <0 for all, real x., , 4. For all real x, x° + 2ax + (10 —3a) > 0 then ‘a’ lies in the, interval (a)a<—-5 (b)—S<a<2 (c)a>5 (d), n.o.t. !, , Type:—6 (Mix-up) (S.P + D.P + QE), , & mena 4x4) <, , , , x +x +1, a oe 2x? +x- Dex, it all Ua Face. ee, —8x+16, , Pe cae (t-2(0 +t+1)|,, he < isd, Ores Garay", , (vy telex oe (v Ne 2x~1 >2, , , , , , Type:—7 (G.LF.)