The solution to both inequality is [tex]x>-1[/tex] and [tex]x\leq 7[/tex].
We have equation [tex]-2>-4x-6[/tex] and [tex]-34\leq -4x-6[/tex]
Let us solve the inequality
[tex]-2>-4x-6\\-2+6>-4x\\4>-4x\\x>-1[/tex]
Now, let us solve the inequality
[tex]-34\leq -4x-6\\-34+6\leq -4x\\-28\leq -4x\\x\leq 7[/tex]
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