book Maths Puzzle Numerical Ability

If a < b, then -a > -b. Why?

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I am asked to find the distance between the verticies of the graphs of f(x)=2(x+4)^2-3 and g(x)= -(x+1)^2-3. According to the form f(x)= a(x-h)^2+k the vertex is (h,k). So the vert x+4=t over 7