Answered

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Determine if the following statement is true or false:

The solution of [tex]$x - 1 \ \textless \ -4$[/tex] is [tex]$x \ \textless \ -3$[/tex].

A. True
B. False

Sagot :

GinnyAnswer
To solve the inequality [tex]\( x - 1 < -4 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Follow these steps:

1. Start with the inequality:
[tex]\[ x - 1 < -4 \][/tex]

2. Add 1 to both sides of the inequality to isolate [tex]\( x \)[/tex]:
[tex]\[ x - 1 + 1 < -4 + 1 \][/tex]

3. Simplify the left and right sides:
[tex]\[ x < -3 \][/tex]

Thus, the solution to the inequality [tex]\( x - 1 < -4 \)[/tex] is indeed [tex]\( x < -3 \)[/tex].

Therefore, the statement "The solution of [tex]\( x - 1 < -4 \)[/tex] is [tex]\( x < -3 \)[/tex]" is True.
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