The value of x is always less than or equals 10.
The given inequality is [tex]5x+7y \leq 22[/tex].
We need to determine the solutions to the inequality when y = - 4.
Now, substitute the value of y in the inequality and solve the inequality for x.
[tex]\begin{aligned}5x+7 \times - 4 &\leq 22\\5x -28 &\leq 22\\5x &\leq 50\\x &\leq 10 \end{aligned}[/tex]
Thus, the value of x is always less than or equals 10.
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