Question

Inequality: |4 - v| < 5

(a) Write the inequality as two inequalities without absolute value.
(b) Solve the inequality and write the solution set.

Answer 1

Answer: ↓↓↓

a) 4-v<5 and 4-v>-5

b) 4-v<5 4-v>-5

subtract 4 from each side

-v < 1 -v > -9

divide by -1 (flips the inequality)

v>-1 and v<9

-1<v<9

_________________________

Remember! The solution set is all real numbers between -1 and 9 not including -1 and 9

HOPE I HELPED!!!

:)

~Nuha

Answer 2

a) 4-v<5 and 4-v>-5

b) 4-v<5 4-v>-5

subtract 4 from each side

-v < 1 -v > -9

divide by -1 (flips the inequality)

v>-1 and v<9

-1<v<9