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10. If [tex]\(4x \ \textless \ 6\)[/tex], then

A. [tex]\( \cos = 1.5 \)[/tex]

B. [tex]\( x \ \textless \ \frac{2}{3} \)[/tex]

C. [tex]\( x \ \textgreater \ \frac{2}{3} \)[/tex]

D. [tex]\( x \ \textless \ \frac{3}{2} \)[/tex]

Sagot :

GinnyAnswer
To solve the given inequality [tex]\(4x < 6\)[/tex], follow these steps:

Step 1: Write down the inequality:
[tex]\[4x < 6\][/tex]

Step 2: Isolate the variable [tex]\(x\)[/tex] by dividing both sides of the inequality by 4:
[tex]\[x < \frac{6}{4}\][/tex]

Step 3: Simplify the fraction on the right-hand side:
[tex]\[x < \frac{6}{4} = \frac{3}{2}\][/tex]

Therefore, the solution to the inequality [tex]\(4x < 6\)[/tex] is:
[tex]\[x < \frac{3}{2}\][/tex]

Thus, the correct answer is:
(D) [tex]\(x < \frac{3}{2}\)[/tex]

Hence, the inequality simplifies to [tex]\(x < 1.5\)[/tex] which is equivalent to [tex]\(x < \frac{3}{2}\)[/tex].
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