Solve 2x+10≥12 .

7 answers

To solve the inequality 2x + 10 ≥ 12, we need to isolate x on one side of the inequality sign.

First, we subtract 10 from both sides of the inequality to get:
2x ≥ 2

Then, we divide both sides by 2 to isolate x:
x ≥ 1

Therefore, the solution to the inequality 2x + 10 ≥ 12 is x ≥ 1.
Solve 5x+12.5<23.1 .
To solve the inequality 5x + 12.5 < 23.1, we need to isolate x on one side of the inequality sign.

First, we subtract 12.5 from both sides of the inequality to get:
5x < 23.1 - 12.5
5x < 10.6

Then, we divide both sides by 5 to isolate x:
x < 10.6/5
x < 2.12

Therefore, the solution to the inequality 5x + 12.5 < 23.1 is x < 2.12.
Question
Solve 47x−27>57 .
To solve the inequality 47x - 27 > 57, we need to isolate x on one side of the inequality sign.

First, we add 27 to both sides of the inequality to get:
47x > 57 + 27
47x > 84

Then, we divide both sides by 47 to isolate x:
x > 84/47

Therefore, the solution to the inequality 47x - 27 > 57 is x > 84/47 or x > 1.787.
Use the image to answer the question.
A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 4 and 5, just after 4. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 10.



What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.

Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard.

(1 point)
Based on the description, the closed point plotted on the number line between 4 and 5, just after 4, along with the rightward arrow that extends beyond 10, indicates that the inequality is x > 4. The closed point represents x = 4 and the arrow extending beyond 10 suggests that x is greater than 4. Therefore, the linear inequality shown on the number line is x > 4.
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