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Sagot :
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.
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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