Which of the following statements best describes a change that impacted african americans in the 1950sin the 1950s, more and more homes had a television mostly due to which of the following?

I'll answer your first question, because I've seen the answer choices elsewhere.  For your second question, maybe give the answer options in a comment.  

What change impacted African Americans in the 1950s?

Correct  Court cases challenged the legality of discrimination.

I'll mention key court cases after debunking the other answers in the list.  Truman's desegregation of the armed forces happened already in 1948, and impacted only those in the armed forces, rather than all African Americans.  The suburbs were NOT welcoming toward African Americans, and they remained in living mostly in urban centers.

As to key court cases of the 1950s regarding discrimination:

1950: Sweatt v. Painter and McLaurin v. Oklahoma State Regents.  In these cases, the Supreme Court said segregation of African American students in law and graduate schools was unconstitutional.  This was the start of challenging "separate-but-equal" policies.

1954: Brown v. Board of Education.  Firm decision that "separate but equal" policies were unconstitutional across the education system.  Chief Justice Earl Warren, speaking for the unanimous opinion of the Court, said: “Separate educational facilities are inherently unequal.”  

1955: Brown v. Board II.  The Supreme Court directed that school systems must abolish segregation “with all deliberate speed.”

1956: The Supreme Court affirmed a lower court ruling that the segregation of the Montgomery, Alabama, bus system was illegal.  This was in reference to the bus boycott that had begun with the protest by Rosa Parks.

1958: Cooper v. Aaron.  The Supreme Court upheld the US Court of Appeals (8th Circuit) decision that resistance by local officials and threats of violence in the community did not  justify delaying desegregation.  This followed in the wake of the Little Rock Nine (a group of black students) seeking enrollment in LIttle Rock Central High School.

the articles of confederation only set up the continental congress at the federal level. there were no executive or judicial branches except within the states. the states were allowed to keep every right that was not specifically given to congress. the bonding of the states was through a 'firm league of friendship' that best served as a defense agreement against invasion. states were not allowed to use taxes as a way to discourage treaties, and states were extremely limited in their dealings with foreign nations.

not many historians today talk about the strengths of the articles of confederation, likely because of how unpopular the document quickly became. the articles did set the legislative body, congress, as the highest power in the nation because of the fear of monarchy. congress had the sole power to declare war, assign treaties, entertain foreign relations, and operate post offices. disputes between states and territorial issues were to be brought to congress. the document also stipulated that canada was allowed to enter the union if they desired.

there were more weaknesses than strengths under the articles of confederation. the lack of power given to the continental congress strangled the federal government. the articles gave congress the power to pass laws but no power to enforce those laws. if a state did not support a federal law, that state could simply ignore it. congress had no power to levy taxes or regulate trade. without a federal court system or executive leader, there would be no way to enforce these laws, either. amending the articles of confederation would also require a unanimous decision, which would be extremely difficult.