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Solve for [tex]\( t \)[/tex].

[tex]\[ \frac{t}{-3.2} \ \textless \ 5 \][/tex]

[tex]\[ t \ \textgreater \ ? \][/tex]

Sagot :

GinnyAnswer
Sure, let's solve the inequality:

[tex]\[ \frac{t}{-3.2} < 5 \][/tex]

First, we need to isolate [tex]\( t \)[/tex]. To do this, we'll multiply both sides of the inequality by [tex]\(-3.2\)[/tex].

However, we need to remember an important rule when working with inequalities: when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign reverses.

So, let's multiply both sides by [tex]\(-3.2\)[/tex]:

[tex]\[ t > 5 \cdot -3.2 \][/tex]

Next, we perform the multiplication on the right-hand side:

[tex]\[ 5 \cdot -3.2 = -16 \][/tex]

So our inequality now becomes:

[tex]\[ t > -16 \][/tex]

Therefore, the solution to the inequality [tex]\(\frac{t}{-3.2} < 5\)[/tex] is:

[tex]\[ t > -16 \][/tex]
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