we have the compound inequality
-29≤3x-5<13
step 1
Solve
-29≤3x-5
-29+5≤3x
-24≤3x
-24/3 ≤ 3x/3
-8≤x
Rewrite
x≥-8
the solution of the first inequality is the interval [-8, infinite)
step 2
solve the inequality
3x-5<13
3x<13+5
3x <18
x<6
the solution of the second inequality is the interval (-infinite, 6)
step 3
the solution of the compound inequality is
[-8, infinite) ∩ (-infinite, 6)=[-8,6)
see the attached figure