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Can you explain when we flip the inequality direction when solving inequalities.

We solve inequalities exactly like normal equations except for Dividing by a Negative Coefficient where we Change the inequality directionE.gx+2>4 is ... x>2 (ask second sim example)x-1>1 is ... x&g...
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Answered by Matthew M. • Maths tutor
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Mixed rugby team of 20, 5 are female. 15 play at a time. i.) What is the percentage chance of a female playing. ii.)A minimum of three females must now be on the pitch. What is the percentage chance of 4 females playing?

i.) 5/20 * 15/20 *100 = 18.755%ii.) Since 3 have to be on the team, essentially the problem is percentage chance of one female getting onto a team of 12, therefore 2/17 * 12/17 * 100 = 8.30%
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Answered by Alfie C. • Maths tutor
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f(x) = (2x+3)/(x-4). Work out f^-1 (x)

f -1 (x) = inverseSet f -1 (x) as y = (2x+3)/(x-4)y(x-4) = 2x+3yx-4y = 2x+3yx-2x = 3+4yx(y-2) = 3+4yx = (3+4y)/(y-2)f -1 (x) = (3+4x)/(x-2)
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Answered by Gurlina H. • Maths tutor
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For which values of x is x^2 - 5x + 6 < 0 true?

Factorising the left hand side of the inequality gives (x-2)(x-3), so we know that the quadratic curve intersects the x-axis at x=2 and x=3. Since the coefficient of x^2 in the quadratic equation x^2-5x+6 is...
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Answered by Thomas V. • Maths tutor
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Find the equation of the straight line which passes through the points (5, 0) and (6, 4).

We can use the general equation of a straight line to tackle this question: y=mx+c (m is the gradient and c is the y-intercept).(Note: The points are in the form (x, y).) First, we will determine the gradien...
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Answered by Chloe M. • Maths tutor
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