Answer
See multiple step explanation below.
Work Step by Step
a) $2x\geq 1$
Divide by 2, the solution is $[1/2, ∞)$
b) find solutions of equality, then make a sign chart.
Solution: $(1,4)$
c) solve equality for 7 and -7
We get $x=6.-1$
d) Solve inequality for $-7\leq 2x-5 \leq 7$
And get $[-1,6]$