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State all integer values of
x in the interval
-2 <= x <= 4 that satisfy the following inequality:

4x-9 >= -13
Answer:
x=

State all integer values of $x$ in the interval $-2 \leq x \leq 4$ that satisfy the following inequality: $\newline$ $4 x-9 \geq-13$ $\newline$ Answer: $x=$

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Solve quadratic inequalities

Full solution

Q. State all integer values of

x

in the interval

-2 \leq x \leq 4

that satisfy the following inequality:

\newline

4 x-9 \geq-13

\newline

Answer:

x=

Isolate x term: Solve the inequality $4x - 9 \geq -13$ . Add $9$ to both sides of the inequality to isolate the term with $x$ . $4x - 9 + 9 \geq -13 + 9$ $4x \geq -4$
Solve for x: Divide both sides of the inequality by $4$ to solve for x. $\newline$ $\frac{4x}{4} \geq \frac{-4}{4}$ $\newline$ $x \geq -1$
Identify integers for $x$ : Identify the integer values of $x$ within the given interval $-2 \leq x \leq 4$ that satisfy $x \geq -1$ . The integers that satisfy $x \geq -1$ are $-1$ , $0$ , $1$ , $2$ , $3$ , and $x$ $0$ .
Check within given interval: Check if the identified integers are within the given interval $-2 \leq x \leq 4$ . All the integers from $-1$ to $4$ are within the interval $-2 \leq x \leq 4$ .

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Question

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Question

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1

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