Which answer gives all the values of x
for which the inequality 3x+2≥9−4x
is true?(1 point)
Responses
x≤1
x less-than-or-equal-to 1
x≥1
x greater-than-or-equal-to 1
x=1
x equals 1
x>1
x greater than 1
The answer is x≥1, x greater-than-or-equal-to 1.
To find the values of x for which the inequality 3x+2≥9−4x is true, we can simplify the inequality and solve for x step-by-step.
1. Start with the given inequality: 3x+2≥9−4x.
2. Combine like terms by adding 4x to both sides of the inequality: 3x + 4x + 2 ≥ 9.
3. Simplify by combining like terms on the left side of the inequality: 7x + 2 ≥ 9.
4. Subtract 2 from both sides of the inequality to isolate the variable: 7x ≥ 7.
5. Finally, divide both sides of the inequality by 7 to solve for x: x ≥ 1.
Therefore, the answer is: x greater-than-or-equal-to 1.