Solve the inequality equation x+14<25 . Make sure to write your inequality so that x comes first. list each step in the process

11 answers

To solve the inequality equation x + 14 < 25, we want to isolate x on one side of the inequality sign.

Step 1: Subtract 14 from both sides of the inequality:
x + 14 - 14 < 25 - 14
x < 11

The solution to the inequality equation is x < 11.
Solve the inequality x−8≥5 . Make sure to write your inequality so that x comes first. list each step
To solve the inequality equation x - 8 ≥ 5, we want to isolate x on one side of the inequality sign.

Step 1: Add 8 to both sides of the inequality:
x - 8 + 8 ≥ 5 + 8
x ≥ 13

The solution to the inequality equation is x ≥ 13.
Solve the inequality x+10.5<20.2 . Make sure to write your inequality so that x comes first. list each step
To solve the inequality equation x + 10.5 < 20.2, we want to isolate x on one side of the inequality sign.

Step 1: Subtract 10.5 from both sides of the inequality:
x + 10.5 - 10.5 < 20.2 - 10.5
x < 9.7

The solution to the inequality equation is x < 9.7.
Solve x+8>10 .
To solve the inequality equation x + 8 > 10, we want to isolate x on one side of the inequality sign.

Step 1: Subtract 8 from both sides of the inequality:
x + 8 - 8 > 10 - 8
x > 2

The solution to the inequality equation is x > 2.
Solve x−1/3≤1/2
To solve the inequality equation x - 1/3 ≤ 1/2, we want to isolate x on one side of the inequality sign.

Step 1: Add 1/3 to both sides of the inequality:
x - 1/3 + 1/3 ≤ 1/2 + 1/3
x ≤ 5/6

The solution to the inequality equation is x ≤ 5/6.
how did you add the fractions
To add fractions, you need to have a common denominator.

In this case, the common denominator of 2 and 3 is 6.

So, we need to rewrite 1/2 and 1/3 with a denominator of 6:

1/2 = 3/6
1/3 = 2/6

Now we can add the fractions:
x - 1/3 + 1/3 ≤ 1/2 + 1/3
x - 2/6 + 1/6 ≤ 3/6 + 2/6
x - 1/6 ≤ 5/6

Therefore, x ≤ 5/6 is the solution to the inequality equation.
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