Solve 3.4x≥23.8 . Make sure to write your inequality so that x comes first.(1 point)

Answer 1

To solve the inequality 3.4x ≥ 23.8, we need to isolate x.

First, we divide both sides of the inequality by 3.4 to solve for x:
x ≥ 23.8 ÷ 3.4

Simplifying this equation,
x ≥ 7

Answer 2

Use the image to answer the question.

A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 4. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.

Paolo solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

(1 point)
Responses

4.9x>19.6
4.9 x greater than 19.6

2.8x<10.5
2.8 x less than 10.5

2.1x<8.4
2.1 x less than 8.4

3.7x>14.8

Answer 3

The inequality that Paolo solved and graphed on the number line is 2.8x < 10.5.
This is because the leftward arrow starting from 4 goes towards the direction of -10, suggesting that x is less than 4. Additionally, the open point on 4 indicates that x is not equal to 4. Therefore, the correct inequality is 2.8x < 10.5.

Answer 4

Inequalities Unit Test
7 of 15 7 of 15 Items

Question
Solve 8x−14≤10 . Make sure to write your inequality so that x comes first.(1 point)

Answer 5

To solve the inequality 8x - 14 ≤ 10, we need to isolate x.

First, we add 14 to both sides of the inequality:
8x - 14 + 14 ≤ 10 + 14
8x ≤ 24

Then, we divide both sides of the inequality by 8:
8x/8 ≤ 24/8
x ≤ 3

So, the solution to the inequality is x ≤ 3.