Solve and explain the inequality problem:

\[ 13x + (-7)(-2 + x) \geq 4x - 10 \]

13 x − 7 ( − 2 + x ) ≥ 4 x − 10 ∣ O mi t t h e b r a c k e t 13 x + 14 − 7 x ≥ 4 x − 10 6 x + 14 ≥ 4 x − 10 S u b t r a c t 4 x 2 x + 14 ≥ − 10 S u b t r a c t 14 2 x ≥ − 24 ∣ D i v i d e b y 2 x ≥ − 12

Answered by luana | 2024-06-10

The solution to the inequality 13 x + ( − 7 ) ( − 2 + x ) ≥ 4 x − 10 is x ≥ − 12 . This is found by simplifying the expression through distribution, combining like terms, isolating the variable, and checking the result. values of x that are − 12 or greater satisfy the inequality.
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Answered by luana | 2024-10-15