![p\land v](https://img.qammunity.org/2019/formulas/mathematics/college/3punx2bdrzalvjx0gz06chpyyfdnhdl7g3.png)
is true if both
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![v](https://img.qammunity.org/2019/formulas/mathematics/high-school/rtg1739l1n8pdfvh0p87q4firkk32rmp9w.png)
are true.
![p\land r](https://img.qammunity.org/2019/formulas/mathematics/college/z3lobbuj5n6p6zzpbucy5110rh5n53w2q0.png)
is true if both
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![r](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fup2d4h7t3viftoy9friumyess437eso1p.png)
are true.
![(p\land v)\lor(p\land r)](https://img.qammunity.org/2019/formulas/mathematics/college/vvr2ig2v587y7u3u9htgnzfafysqmguaos.png)
is true if either of the conjunctions are true. So either
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![v](https://img.qammunity.org/2019/formulas/mathematics/high-school/rtg1739l1n8pdfvh0p87q4firkk32rmp9w.png)
are both true, or
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![r](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fup2d4h7t3viftoy9friumyess437eso1p.png)
are both true.
If you're looking at a truth table, then pick the rows where both
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![v](https://img.qammunity.org/2019/formulas/mathematics/high-school/rtg1739l1n8pdfvh0p87q4firkk32rmp9w.png)
are true, or
![p](https://img.qammunity.org/2019/formulas/mathematics/college/9b4c66uki4hog105mhb3ouhqdgi6tnnhhd.png)
and
![r](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fup2d4h7t3viftoy9friumyess437eso1p.png)
are true, or all of
![p,v,r](https://img.qammunity.org/2019/formulas/mathematics/college/3oafqrvjdyo97uv3npxgc59jt7ejotcrru.png)
are true.