Let’s do 3x - 8 ≤ 23 first.
You need to rearrange this so that x is on its own.
+8 to both sides
3x ≤ 31
/3 on both sides
x ≤ 31/3
Then the second, -4x + 26 ≥ 6
-26 from both sides
-4x ≥ -20
/-4 on both sides
x ≥ 5
So x is greater than or equal to 5, which can also be written as 5 ≤ x
And for the first one, x is less than or equal to 31/3, which can still be written as x ≤ 31/3, so your final answer is:
5 ≤ x ≤ 31/3
