Question

Solve the following system of equations in R.

$2x+6\ge 0,4x-7<0$

Answer 1

Consider the first inequation,

$2x+6\ge 02x\ge -6x>\frac{-6}{2}x\ge -3...\left(i\right)$

Consider the second inequation,

$4x-7<04x<7x<\frac{7}{4}...\left(ii\right)From\left(i\right)and\left(ii\right),[-3,\frac{7}{4}]isthesolutionsetofthesimultaneousequations.$