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Sagot :
To solve the inequality [tex]\( 5x - 9 \leq 21 \)[/tex], let's follow the steps systematically:
1. Start with the given inequality:
[tex]\( 5x - 9 \leq 21 \)[/tex]
2. Add 9 to both sides of the inequality to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 5x - 9 + 9 \leq 21 + 9 \][/tex]
Simplifying this results in:
[tex]\[ 5x \leq 30 \][/tex]
3. Divide both sides of the inequality by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{5x}{5} \leq \frac{30}{5} \][/tex]
Simplifying this gives:
[tex]\[ x \leq 6 \][/tex]
So, the solution set of the inequality [tex]\( 5x - 9 \leq 21 \)[/tex] is:
[tex]\[ x \leq 6 \][/tex]
Hence, the correct answer is [tex]\( \boxed{x \leq 6} \)[/tex].
1. Start with the given inequality:
[tex]\( 5x - 9 \leq 21 \)[/tex]
2. Add 9 to both sides of the inequality to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 5x - 9 + 9 \leq 21 + 9 \][/tex]
Simplifying this results in:
[tex]\[ 5x \leq 30 \][/tex]
3. Divide both sides of the inequality by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{5x}{5} \leq \frac{30}{5} \][/tex]
Simplifying this gives:
[tex]\[ x \leq 6 \][/tex]
So, the solution set of the inequality [tex]\( 5x - 9 \leq 21 \)[/tex] is:
[tex]\[ x \leq 6 \][/tex]
Hence, the correct answer is [tex]\( \boxed{x \leq 6} \)[/tex].
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