Question

x+15≥3 .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality x + 15 ≥ 3, we want to isolate x on one side of the equation.

Subtracting 15 from both sides of the inequality, we have:
x + 15 - 15 ≥ 3 - 15
x ≥ -12.

Therefore, the solution to the inequality x + 15 ≥ 3 is x ≥ -12.

Answer 2

x+2 1/2<8 .

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the inequality x + 2 1/2 < 8, we want to isolate x on one side of the equation.

Subtracting 2 1/2 from both sides of the inequality, we have:
x + 2 1/2 - 2 1/2 < 8 - 2 1/2
x < 5 1/2.

Therefore, the solution to the inequality x + 2 1/2 < 8 is x < 5 1/2.

Answer 4

x−2 1/3<2 1/6

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the inequality x - 2 1/3 < 2 1/6, we want to isolate x on one side of the equation.

Adding 2 1/3 to both sides of the inequality, we have:
x - 2 1/3 + 2 1/3 < 2 1/6 + 2 1/3
x < 4 5/18.

Therefore, the solution to the inequality x - 2 1/3 < 2 1/6 is x < 4 5/18.

Answer 6

show that on a number line

Answer 7

[AI-generated answer — Bot GPT 3.5]

To represent the inequality x - 2 1/3 < 2 1/6 on a number line, we start by locating the number 4 5/18.

The number 4 5/18 can be written as a mixed number: 4 5/18 = 4 + 5/18.

To convert the mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. Then we place the result over the original denominator.

4 5/18 = (4 * 18 + 5) / 18 = 77/18.

Next, we locate the point 77/18 on the number line. We divide the whole number 77 by the denominator 18 to determine the nearest whole number to place on the number line, which is 4.

Then, we divide the remainder by the denominator to locate the fractional part on the number line.

The remainder is 5, and the denominator is 18.

Dividing 5 by 18, we get approximately 0.2778.

So, we can place a dot slightly to the right of the number 4 on the number line to represent 77/18.

Finally, we shade the area to the left of the dot to indicate that the values of x that satisfy the inequality x - 2 1/3 < 2 1/6 are those less than 4 5/18.

Note: Since it's not possible to show the exact value of 77/18 on a number line, the dot may not be perfectly accurate, but it should be placed close to the location of 4 5/18.

Answer 8

Solve 5x<12 . Write the improper fraction in your answer as a mixed number.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 5x < 12, we want to isolate x on one side of the equation.

Dividing both sides of the inequality by 5, we have:

(5x)/5 < 12/5

x < 12/5

To write the improper fraction 12/5 as a mixed number, we divide the numerator 12 by the denominator 5.

12 ÷ 5 = 2 remainder 2

Thus, the improper fraction 12/5 can be written as the mixed number 2 2/5.

Therefore, the solution to the inequality 5x < 12 is x < 2 2/5.

Answer 10

Solve 3.4x≥23.8

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 3.4x ≥ 23.8, we want to isolate x on one side of the equation.

Dividing both sides of the inequality by 3.4, we have:

(3.4x)/3.4 ≥ 23.8/3.4

x ≥ 7.

Therefore, the solution to the inequality 3.4x ≥ 23.8 is x ≥ 7.