Final answer:
The false statement is (a), which claims pseudocode and flowcharts check the syntax of programs; they are actually used for designing algorithms. Statements (b) and (c) are true as they correctly describe a sequence and a decision structure respectively.
Step-by-step explanation:
The false statement among the options provided is: a. Pseudocode and flowcharts are both tools that are used to check the syntax of computer programs. This statement is false because pseudocode and flowcharts are used for designing and explaining algorithms, not for checking their syntax. The correct statement should be: Pseudocode and flowcharts are both tools that are used to design and illustrate the logic of computer programs.
Statement b. is true as it correctly explains a sequence structure in programming, where actions are executed in a straight line, from start to end without any conditions interrupting the flow.
Statement c. is also true as it correctly describes a decision structure (also known as a selection structure or control flow statement), where the flow of the program is diverted based on the result of a Boolean expression, thus choosing between alternative paths.