Pregunta
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a. \( x > 67 \)
c. \( x > -\frac{2}{5} \)
Solución
Let's solve each inequality step by step.
a. For x + 3 > 70:
1. Subtract 3 from both sides:
x > 70 – 3
2. Simplify:
x > 67
c. For –5x < 2:
1. Divide both sides by –5. Remember that dividing by a negative number reverses the direction of the inequality:
x > 2/(-5)
2. Simplify:
x > -2/5
So the solutions are:
a. x > 67
c. x > -2/5
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To solve the first inequality, \( x + 3 > 70 \), subtract 3 from both sides to get \( x > 67 \). This tells us that any number greater than 67 will satisfy this inequality—so think of a race, and only those who run faster than 67 get to cross the finish line! For the second inequality, \( -5x < 2 \), we first divide both sides by -5. Remember, when you divide by a negative number, you flip the inequality sign! So this becomes \( x > -\frac{2}{5} \). In this case, any number greater than -0.4 is in the clear—imagine a treasure hunt where only those with positive vibes (and numbers) can find the goodies!
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