Answer:
The value of the inequality for x is [tex]x\geq 4[/tex] .
Step-by-step explanation:
Consider the provided inequality.
[tex]-6\geq 10-4x[/tex]
We need to solve the inequality for x.
Subtract 10 from both sides.
[tex]-6-10\geq 10-10-4x[/tex]
[tex]-16\geq -4x[/tex]
Divide both the sides by -4 and change the sign of inequity. Because whenever multiplying both side by a negative number it is required to change the sign of inequality.
[tex]\frac{-16}{-4}\leq \frac{-4x}{-4}[/tex]
[tex]4\leq x[/tex]
[tex]x\geq 4[/tex]
Hence, the value of the inequality for x is [tex]x\geq 4[/tex] .
