Solve the following system of equations in R.
2x+5≤0,x−3≤0
Consider the first inequation,
2x+5≤02x≤−5x≤−52 ...(i)
Consider the second inequation,
x−3≤0x≤3 ...(ii)From (i) and (ii),[−∞,−52] is the solution set of the simultaneous equations.
−5<2x−3<5
3x-6 >,2x-5>0
4x+1≤3≤6x+1,x>0