Answer:
x∈ [1; +∞)
Explanation:
First write down the whole inequality:
1 - 3x ≤ -2 ﹤ 3x + 5
Then it can be seen that there are two separate inequalities here, so we have a system of inequalities:
{1 - 3x ≤ -2,
{3x + 5 ﹥ -2;
we express x from both inequalities:
From the first one:
-3x ≤ -2 - 1
-3x ≤ -3 / : (-3)
x ≥ 1
From the second one:
3x ﹥ -2 - 5
3x ﹥ -7 / : 3


So, now that we have expressed x from both inequalities, we can write down the general range of x values for them (as you can see in the picture, the answer is the common values of x for both inequalities, both red and green colors):
x∈ [1; +∞)