How you solve this in inequality form?
Six less than or equal to the sum of 4 and -2x.
6 <= 4 + -2x
2 <= -2x
-1 >= x
To solve the inequality "six less than or equal to the sum of 4 and -2x," we can follow these steps:
1. Start by identifying the parts of the inequality:
- The left side: six
- The relation: less than or equal to (≤)
- The right side: the sum of 4 and -2x
2. Write the inequality equation:
6 ≤ 4 + (-2x)
3. Simplify the equation:
6 ≤ 4 - 2x
4. Combine like terms on the right side:
6 ≤ -2x + 4
5. Move the constant term to the left side, and the variable term to the right side by subtracting 4 from both sides:
6 - 4 ≤ -2x
Simplifying further:
2 ≤ -2x
6. Divide both sides of the inequality by -2. However, note that when dividing by a negative number, the inequality sign reverses:
2/(-2) ≥ x
Simplifying further:
-1 ≥ x
7. The inequality is now in the form x ≤ -1. This means that any value of x that is less than or equal to -1 will satisfy the original inequality.
x ≤ -1
6 ≤ 4 + (-2x)
2 ≤ -2x
x ≤ 1