State all integer values of x in the interval -8 <= x <= -3 that satisfy the following inequality: 2x+10 < -4 Answer: x=

Identify Inequality & Interval: Identify the inequality and the given interval. The inequality to solve is 2x + 10 < -4, and we are looking for integer solutions within the interval -8 <= x <= -3.Isolate Variable x: Isolate the variable x on one side of the inequality. Subtract 10 from both sides of the inequality to get 2x < -14. Calculation: 2x + 10 - 10 < -4 - 10 2x < -14Divide by 2: Divide both sides of the inequality by 2 to solve for x. Calculation: 2x/2 < -14/2 x < -7Determine Integer Values: Determine the integer values of x that are less than -7 and within the given interval -8 <= x <= -3. Since x must be less than -7, the only integer value of x within the interval that satisfies this condition is x = -8.

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State all integer values of
x in the interval
-8 <= x <= -3 that satisfy the following inequality:

2x+10 < -4
Answer:
x=

State all integer values of $x$ in the interval $-8 \leq x \leq-3$ that satisfy the following inequality: $\newline$ 2 x+10<-4 $\newline$ Answer: $x=$

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Math Problems

Grade 8

Evaluate powers with negative or zero exponents

Full solution

Q. State all integer values of

x

in the interval

-8 \leq x \leq-3

that satisfy the following inequality:

\newline

2 x+10<-4

\newline

Answer:

x=

Identify Inequality & Interval: Identify the inequality and the given interval. $\newline$ The inequality to solve is 2x + 10 < -4, and we are looking for integer solutions within the interval $-8 \leq x \leq -3$ .
Isolate Variable $x$ : Isolate the variable $x$ on one side of the inequality. $\newline$ Subtract $10$ from both sides of the inequality to get 2x < -14. $\newline$ Calculation: 2x + 10 - 10 < -4 - 10 $\newline$ 2x < -14
Divide by $2$ : Divide both sides of the inequality by $2$ to solve for $x$ . $\newline$ Calculation: \frac{2x}{2} < \frac{-14}{2} $\newline$ x < -7
Determine Integer Values: Determine the integer values of $x$ that are less than $-7$ and within the given interval $-8 \leq x \leq -3$ . Since $x$ must be less than $-7$ , the only integer value of $x$ within the interval that satisfies this condition is $x = -8$ .