So starting with the first inequality:
Firstly, subtract 1/5 on each side. [tex] \frac{3}{2}x \geq -\frac{6}{5} [/tex]
Next, multiply each side by 2/3, and your answer should be:
[tex] x \geq -\frac{12}{15}\\\\ x \geq-\frac{4}{5} [/tex]
Second inequality:
Firstly, add 7/3 on each side [tex] -\frac{1}{2} x\geq \frac{22}{3} [/tex]
Next, multiply by -2 on each side, and flip the less than or equal to sign because you are multiplying by a negative. Your answer will be [tex] x\leq -\frac{44}{3} [/tex]
In short, the correct option is the first option.
