Answer:
The exact solution of given inequality is x≥-1.
Step-by-step explanation:
The given inequality is
[tex]54x+64\geq 49x+59[/tex]
Isolate variable terms.
[tex]54x-49x\geq 59-64[/tex]
Combining like terms we get
[tex](54x-49x)\geq (59-64)[/tex]
[tex]5x\geq -5[/tex]
Divide both sides by 5.
[tex]\frac{5x}{5}\geq \frac{-5}{5}[/tex]
[tex]x\geq -1[/tex]
Therefore, the exact solution of given inequality is x≥-1.