# C1 Inequalities past paper questions

Document of all inequalities past paper questions, C1. Please let me know if these are helpful, because I will keep making them.

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C1 Inequalities past paper questionsPDF Document 233.51 Kb

## Pages in this set

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Sacred Heart of Mary Girls' School INEQUALITIES

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7. The equation x 2 + kx + (k + 3) = 0 , where k is a constant, has different real roots.

(a) Show that k 2 - 4k - 12 > 0. 2VBESBUicJOFRVBMJUZ

(2)

(b) Find the…

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7. The equation x 2 + kx + (k + 3) = 0 , where k is a constant, has different real roots.

(a) Show that k 2 - 4k - 12 > 0. 2VBESBUicJOFRVBMJUZ

(2)

(b) Find the…

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Sacred Heart of Mary Girls' School INEQUALITIES

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8. The equation

x 2 + kx + 8 = k

has no real solutions for x.

(a) Show that k satisfies . 2VBESBUJDJOFRVBMJUZ

(3)

(b) Hence find the set of possible values of k.

(4)

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8. The equation

x 2 + kx + 8 = k

has no real solutions for x.

(a) Show that k satisfies . 2VBESBUJDJOFRVBMJUZ

(3)

(b) Hence find the set of possible values of k.

(4)

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___________________________________________________________________________

___________________________________________________________________________…

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Sacred Heart of Mary Girls' School INEQUALITIES

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8. Given that the equation 2qx2 + qx 1 = 0, where q is a constant, has no real roots,

(a) show that q2 + 8q < 0. 2VBESBUJDJOFRVBMJUZ

(2)

(b) Hence find the set of possible values…

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8. Given that the equation 2qx2 + qx 1 = 0, where q is a constant, has no real roots,

(a) show that q2 + 8q < 0. 2VBESBUJDJOFRVBMJUZ

(2)

(b) Hence find the set of possible values…

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Sacred Heart of Mary Girls' School INEQUALITIES

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7. The equation kx2 + 4x + (5 k) = 0, where k is a constant, has 2 different real solutions

for x.

(a) Show that k satisfies

k2 5k + 4 > 0. 2VBESBUJDJOFRVBMJUZ

(3)

(b)…

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7. The equation kx2 + 4x + (5 k) = 0, where k is a constant, has 2 different real solutions

for x.

(a) Show that k satisfies

k2 5k + 4 > 0. 2VBESBUJDJOFRVBMJUZ

(3)

(b)…

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Sacred Heart of Mary Girls' School INEQUALITIES

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4. Find the set of values of x for which

(a) 4x 3 > 7 x -JOFBSJOFRVBMJUZ

(2)

(b) 2x2 5x 12 < 0 2VBESBUJDJOFRVBMJUZ

(4)

(c) both 4x 3 > 7 x and…

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4. Find the set of values of x for which

(a) 4x 3 > 7 x -JOFBSJOFRVBMJUZ

(2)

(b) 2x2 5x 12 < 0 2VBESBUJDJOFRVBMJUZ

(4)

(c) both 4x 3 > 7 x and…

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Sacred Heart of Mary Girls' School INEQUALITIES

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3. Find the set of values of x for which

(a) 3(x 2) < 8 2x -JOFBSJOFRVBMJUZ

(2)

(b) (2x 7)(1 + x) < 0 2VBESBUJDJOFRVBMJUZ

(3)

(c) both 3(x 2) < 8 2x and…

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3. Find the set of values of x for which

(a) 3(x 2) < 8 2x -JOFBSJOFRVBMJUZ

(2)

(b) (2x 7)(1 + x) < 0 2VBESBUJDJOFRVBMJUZ

(3)

(c) both 3(x 2) < 8 2x and…

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