Solve 2x+10≥12 . Make sure to write your inequality so that x comes first.
Of course! Let's go through the steps to solve the inequality 2x + 10 ≥ 12:
1. Start with the original inequality: 2x + 10 ≥ 12.
2. In order to isolate the variable x on one side of the inequality, we need to get rid of the constant term on the same side as the x-term. The constant term here is 10.
3. We can achieve this by subtracting 10 from both sides of the inequality. Subtracting 10 from both sides will give us:
2x + 10 - 10 ≥ 12 - 10.
Simplifying both sides:
2x ≥ 2.
4. Now, the variable x is isolated on the left side of the inequality. To solve for x, we need to divide both sides of the inequality by the coefficient of x, which is 2.
So, we divide both sides by 2:
(2x) / 2 ≥ 2 / 2.
Simplifying both sides:
x ≥ 1.
Therefore, the solution to the inequality 2x + 10 ≥ 12 is x ≥ 1.
To write the inequality so that x comes first, we need to subtract 12.5 from both sides of the inequality. Let's solve it step by step:
5x + 12.5 < 23.1
Subtracting 12.5 from both sides:
5x + 12.5 - 12.5 < 23.1 - 12.5
Simplifying both sides:
5x < 10.6
Now, to solve for x, we can divide both sides of the inequality by 5:
(5x) / 5 < 10.6 / 5
Simplifying:
x < 2.12
Therefore, the solution to the inequality 5x + 12.5 < 23.1, written with x first, is x < 2.12.
Apologies for the mistake. Let's solve the inequality correctly:
To write the inequality so that x comes first, we need to add 2/7 to both sides of the inequality. Let's solve it step by step:
4/7x - 2/7 > 5/7
Adding 2/7 to both sides:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying both sides:
4/7x > 7/7
We can now simplify 7/7 to 1:
4/7x > 1
To isolate x, we need to multiply both sides by the reciprocal of 4/7, which is 7/4:
(4/7x) * (7/4) > 1 * (7/4)
Simplifying both sides:
28/28x > 7/4
28/28 simplifies to 1, so we have:
x > 7/4
Now, let's express the answer as a mixed number:
7/4 is equivalent to 1 and 3/4.
Therefore, the solution to the inequality (4/7)x - 2/7 > 5/7, written with x first, is x > 1 3/4.
can pls explain how you got the answer
To write the inequality so that x comes first, we need to subtract 10 from both sides of the inequality.
2x + 10 - 10 ≥ 12 - 10
2x ≥ 2
Therefore, the inequality when x comes first is x ≥ 1.
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.
Solve 4/7x−2/7>5/7 . Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.
wrong
To solve the inequality 2x + 10 ≥ 12, we want to isolate the variable x on one side of the inequality.
Step 1: Start by subtracting 10 from both sides of the equation:
2x + 10 - 10 ≥ 12 - 10.
This simplifies to:
2x ≥ 2.
Step 2: Now we want to get x alone. Since 2x means 2 multiplied by x, we can get x alone by dividing both sides of the inequality by 2:
(2x)/2 ≥ 2/2.
This simplifies to:
x ≥ 1.
So, the solution to the inequality is x ≥ 1.
To write the inequality so that x comes first, we need to add 2/7 to both sides of the inequality. Let's solve it step by step:
4/7x - 2/7 > 5/7
Adding 2/7 to both sides:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying both sides:
4/7x > 7/7
To cancel out the coefficient of x, which is 4/7, we can multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4:
(4/7x) * (7/4) > (7/7) * (7/4)
Simplifying both sides:
x > 49/28
Now, let's express the answer as a mixed number:
49/28 is equivalent to 1 and 21/28.
Therefore, the solution to the inequality (4/7)x - 2/7 > 5/7, written with x first, is x > 1 21/28.