Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
2 answers:
Answer:
the solution to this inequality is: (-6,∞).
Step-by-step explanation:
<em> " Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".</em>
<em>Here we are given an inequality as:</em>
<em> 4x + 4 > –20</em>
<em>so subtracting both side by 4 we have:</em>
4x>-20-4
4x>-24
x>-6 (dividing both side by 4)
Hence we get the solution on the number line as:
all those real number which are strictly greater than -6; In intervals we can write this as:
(-6,∞).
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