Question 181526
-2 + (the square root of 9-5x)> or equal to 6?
:
-2 + {{{sqrt(9-5x)}}} >= 6
add 2 to both sides
{{{sqrt(9-5x)}}} >= 6 + 2
{{{sqrt(9-5x)}}} >= 8
square both sides:
9 - 5x => 64
:
-5x => 64 - 9
:
-5x => 55
we want the variable(x) to be positive, mult both sides by -1
this reverses the inequality sign
5x =< -55
x =< {{{(-55)/5}}}
x =< -11
:
:
Check solution in original equation
-2 + {{{sqrt(9-5(-11))}}} = 6
-2 + {{{sqrt(9+55)}}} = 6
-2 + {{{sqrt(64)}}} = 6