Answer:
1.[tex]\:\left(-\infty \:,\:1\right)[/tex]
2.[tex]\:[11,\:\infty \:)[/tex]
Step-by-step explanation:
Given the following questions:
[tex]x-5 < -4[/tex]
[tex]-7x+6\leq-71[/tex]
To find the answer we solve as if it is a two-step equation where we add/subtract on both sides.
Question one:
[tex]x-5 < -4[/tex]
[tex]-5+5=0[/tex]
[tex]-4+5=1[/tex]
[tex]x < 1[/tex]
[tex]\:\left(-\infty \:,\:1\right)[/tex]
Question two:
[tex]-7x+6\leq-71[/tex]
[tex]6-6=0[/tex]
[tex]-71+-6=-77[/tex]
[tex]-7x\leq-77[/tex]
[tex]-7x\div-7=x[/tex]
[tex]-77\div-7=11[/tex]
[tex]x\leq11[/tex]
[tex]\:[11,\:\infty \:)[/tex]
Which means your answers are "(-∞, 1) and [11, ∞)."
Hope this helps.
