Having trouble with inequalities. Solve for x.

\[ 3.8x + 14.5 < 32 \]

3 , 8 x + 14.5 < 32 3 , 8 x < 32 − 14 , 5 3 , 8 x < 17 , 5 / : 3 , 8 x < 3 , 8 17 , 5 ​ 17 2 1 ​ : 3 5 4 ​ = 2 35 ​ : 5 19 ​ = 2 35 ​ ⋅ 19 5 ​ = 38 175 ​ = 4 28 23 ​ x < 4 28 23 ​ x ∈ ( − ∞ ; 4 28 23 ​ )

Answered by tomek1172 | 2024-06-10

Answer: x < 4.6 rounded to the tenths
Step-by-step explanation:
3.8x + 14.5 < 32
subtract 14.5 on both sides.
3.8x < 17.5
divide by 3.8 on both sides.
x < 4.60526316

Answered by samanthabridges | 2024-06-12

The solution to the inequality 3.8 x + 14.5 < 32 is x < 4.5921 . In interval notation, this can be expressed as ( − ∞ , 4.5921 ) .
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Answered by tomek1172 | 2024-12-23