Question

Solve the inequality. 4 + |t + 2| < 11
(Points : 1)
t < 5 and t > 9
t > 5 or t < –9
–5 < t < 9
–9 < t < 5

Answer 1

\[4+|t+2|<11\]\[|t+2|<7\]when the absolute value of a variable in an inequality is less than(<) a number, then you can do this \[t+2<7,and,t+2>-7\]\[t<5,and,t>-9\]\[-9<t<5\]

Answer 2

less than (< less thAND)
for example, if\[|x|<1\] then \[x<1\]AND\[x>-1\]and can be written as \[-1<x<1\]

greater (> greatOR)
for example, if
\[|x|>1\]then\[x>1\]OR\[x<-1\]and CANNOT be written as \[-1>x>1\]