1:Solve 2x+10≥12. Make sure to write your inequality so that x comes first.
2:Solve 5x+12.5<23.1 . Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x comes first
3:Solve 47x−27>57 . Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.
1: To solve the inequality 2x + 10 ≥ 12 and write it so that x comes first, we can start by subtracting 10 from both sides:
2x ≥ 2
Next, divide both sides by 2 to isolate x:
x ≥ 1
So the solution to the inequality is x ≥ 1.
2: To solve the inequality 5x + 12.5 < 23.1 and write it so that x comes first, we can start by subtracting 12.5 from both sides:
5x < 23.1 - 12.5
5x < 10.6
Next, divide both sides by 5 to isolate x:
x < 2.12
So the solution to the inequality is x < 2.12.
3: To solve the inequality 47x - 27 > 57 and write it so that x comes first, we can start by adding 27 to both sides:
47x > 57 + 27
47x > 84
Next, divide both sides by 47 to isolate x:
x > 84/47
Simplifying the fraction, we get:
x > 1 37/47
So the solution to the inequality is x > 1 37/47.