solve $-2x - 36 < 4$. a $x > 20$ b $x > -20$ c $x < 20$ d $x < -20$
solve $-2x - 36 < 4$. a $x > 20$ b $x > -20$ c $x < 20$ d $x < -20$
Answer
Explanation:
Step1: Add 36 to both sides
To isolate the term with ( x ), we add 36 to both sides of the inequality ( -2x - 36 < 4 ). This gives us ( -2x - 36 + 36 < 4 + 36 ), which simplifies to ( -2x < 40 ).
Step2: Divide by -2 (reverse inequality)
When we divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of ( -2x < 40 ) by -2 gives ( \frac{-2x}{-2} > \frac{40}{-2} ), which simplifies to ( x > -20 ).
Answer:
B. ( x > -20 )