Question

solve the absolute value inequality of the ff:
SHOW STEPS / SOLUTION
1.) |5x-3|<6
2.) |6-5x|≥1
3.) |y-3|≤-15
4.) |-8x+5|-4<2

Answer 1

1.) |5x-3|<6
5x-3<6 5x-3>-6
5x<6 +3 5x>-6+3
5<9/5 x>-3/5

Answer 2

5<9/5?
because 5 is y?

Answer 3

i think he ment x<9/5

Answer 4

makes sense...

Answer 5

2.) |6-5x|≥1
6-5x≥1 6-5x≤-1
-5x≥1-6 -5x≤-1-6
x≥-5/-5 x≤-7/-5
x≤1 x≥7/5

Answer 6

3.) |y-3|≤-15
y-3≤-15 y-3≥15
y≤-15 +3 y-3≥15+3
y≤-12 y≥18
pug number and check is nosolution

Answer 7

4.) |-8x+5|-4<2
|-8x+5|<2+4
|-8x+5|<6
-8x+5<6 -8x-5>-6
-8x<6 -5 -8x>-6-5
x>-(1/8 ) x>-11/-8
x<11/8