Solve for  \(x,\frac { 4 }{ x+1 } \le 3\le \frac { 6 }{ x+1' } x>0\)

4

(a)

The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.

4

(a)

The cost and revenue functions of products given by C(X)=20+4000 and R(X)=60+2000 respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit?

4

(a)

The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166cm then find the minimum length of the shortest side.

4

(a)

Find the linear inequalities for which the shaded region on the given figure is the solution set.

4

(a)