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Solve [tex]\(3x - 1.5 \leq 25.5\)[/tex]

Sagot :

GinnyAnsweridn
To solve the inequality [tex]\(3x - 1.5 \leq 25.5\)[/tex], follow these detailed steps:

1. Isolate the variable term:
The inequality as given is [tex]\(3x - 1.5 \leq 25.5\)[/tex]. To isolate the term with the variable [tex]\(x\)[/tex], first add 1.5 to both sides of the inequality.
[tex]\[ 3x - 1.5 + 1.5 \leq 25.5 + 1.5 \][/tex]
Simplifying both sides gives:
[tex]\[ 3x \leq 27 \][/tex]

2. Solve for [tex]\(x\)[/tex]:
To find [tex]\(x\)[/tex], we need to divide both sides of the inequality by the coefficient of [tex]\(x\)[/tex], which is 3.
[tex]\[ \frac{3x}{3} \leq \frac{27}{3} \][/tex]
Simplifying both sides gives:
[tex]\[ x \leq 9 \][/tex]

Thus, the solution to the inequality [tex]\(3x - 1.5 \leq 25.5\)[/tex] is:
[tex]\[ x \leq 9 \][/tex]

Answer:

hello

Step-by-step explanation:

3x-5 ≤ 25.5

3x-1.5+1.5 ≤ 25.5 +1.5

3x ≤ 27

(3x)/3 ≤ 27/3

x ≤ 9

the solution : x ∈ ] -∞ : 9]

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