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Solve the inequality:
[tex]\[ 5x - y \ \textgreater \ -3 \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the inequality step-by-step.

1. Identify the inequality: We need to verify if [tex]\(5x - y > -3\)[/tex].

2. Choose example values: Let’s consider [tex]\(x = 1\)[/tex] and [tex]\(y = 1\)[/tex] to check if the inequality holds.

3. Substitute the values into the inequality:
[tex]\[ 5(1) - 1 \][/tex]

4. Perform the arithmetic operation inside the inequality:
[tex]\[ 5 \cdot 1 - 1 = 5 - 1 = 4 \][/tex]

5. Compare the result with [tex]\(-3\)[/tex]:
[tex]\[ 4 > -3 \][/tex]

We observe that with [tex]\(x = 1\)[/tex] and [tex]\(y = 1\)[/tex], the inequality [tex]\(5x - y > -3\)[/tex] is satisfied since [tex]\(4\)[/tex] is indeed greater than [tex]\(-3\)[/tex].

Hence, for the values [tex]\(x = 1\)[/tex] and [tex]\(y = 1\)[/tex], the inequality [tex]\(5x - y > -3\)[/tex] holds true.
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