What is the solution to this inequality? 6x – 5 > -29
A:x > -4.
B: x <-4
C: x > 4
D: x < 4

We are given with a inequality and we have to find the solution for it . So , let's start :

Adding 5 to both sides :

Dividing both sides by 6 ;

Hence , Option A) x > - 4 is correct :D

Whenever dividing or multiplying an inequality by a -ve , so we have to tilt the sign too , while if we are multiplying or dividing with a +ve , so sign will remain the same , For example like if we are given with x > y , and we multiply both sides by -1 . So , it will then become - x < - y

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5