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Solve the inequality for [tex] x [/tex]:

[tex] -8x \ \textless \ 16 [/tex]


Sagot :

To solve the inequality [tex]\(-8x < 16\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Understand the inequality: We need to isolate the variable [tex]\(x\)[/tex] on one side of the inequality sign.

2. Divide both sides by [tex]\(-8\)[/tex]: Since we are dividing by a negative number, it is important to remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign.

[tex]\[ x > \frac{16}{-8} \][/tex]

3. Simplify the right side: Perform the division on the right side of the inequality.

[tex]\[ x > -2 \][/tex]

So, the solution to the inequality [tex]\( -8x < 16 \)[/tex] is [tex]\( x > -2 \)[/tex]. This means that any value of [tex]\(x\)[/tex] greater than [tex]\(-2\)[/tex] will satisfy the inequality.