Final answer:
To solve the inequality 5(x−1)≤−39, distribute 5 to both terms inside the parentheses. Add 5 to both sides and then divide both sides by 5 to solve for x. The answer is x ≤ -19. Option (C) is correct.
Step-by-step explanation:
In an equation, the two expressions are deemed equal which is shown by the symbol =. Whereas in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. An equation or an inequality that contains at least one variable is called an open sentence.
A relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
To solve the inequality 5(x−1)≤−39, we can start by distributing 5 to both terms inside the parentheses:
5x - 5 ≤ -39
Next, we can add 5 to both sides of the inequality:
5x ≤ -34
Finally, we divide both sides of the inequality by 5 to solve for x:
x ≤ -6.8
Therefore, the correct answer is option A. x ≤ -19.