Which of the following values are solutions to the inequality 5x+2 > -5? I. -7 II. -6 III. 6 None I only II only III only I and II I and III II and III I, II and III

Isolate x: First, we need to solve the inequality for x by isolating x on one side. We start by subtracting 2 from both sides of the inequality 5x + 2 > -5 to get 5x > -7. Calculation: 5x + 2 - 2 > -5 - 2 5x > -7Divide by 5: Next, we divide both sides of the inequality by 5 to solve for x. This gives us x > -7/5. Calculation: 5x/5 > -7/5 x > -1.4Check Values: Now we need to check which of the given values are greater than -1.4. For I. -7, we see that -7 is not greater than -1.4. For II. -6, we see that -6 is not greater than -1.4. For III. 6, we see that 6 is greater than -1.4.Identify Solution: Based on the checks in Step 3, only the value III (6) is a solution to the inequality 5x + 2 > -5.

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Which of the following values are solutions to the inequality
5x+2 > -5?
I. -7
II. -6
III. 6
None
I only
II only
III only
I and II
I and III
II and III
I, II and III

Which of the following values are solutions to the inequality 5 x+2>-5 ? $\newline$ I. $-7$ $\newline$ II. $-6$ $\newline$ III. $6$ $\newline$ None $\newline$ I only $\newline$ II only $\newline$ III only $\newline$ I and II $\newline$ I and III $\newline$ II and III $\newline$ I, II and III

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Math Problems

Algebra 1

Does (x, y) satisfy the inequality?

Full solution

Q. Which of the following values are solutions to the inequality

5 x+2>-5 ?

\newline

-7

\newline

II.

-6

\newline

III.

6

\newline

None

\newline

I only

\newline

II only

\newline

III only

\newline

I and II

\newline

I and III

\newline

II and III

\newline

I, II and III

Isolate x: First, we need to solve the inequality for $x$ by isolating $x$ on one side. We start by subtracting $2$ from both sides of the inequality 5x + 2 > -5 to get 5x > -7. $\newline$ Calculation: 5x + 2 - 2 > -5 - 2 $\newline$ 5x > -7
Divide by $5$ : Next, we divide both sides of the inequality by $5$ to solve for $x$ . This gives us x > -\frac{7}{5}. $\newline$ Calculation: \frac{5x}{5} > -\frac{7}{5} $\newline$ x > -1.4
Check Values: Now we need to check which of the given values are greater than $-1.4$ . For I. $-7$ , we see that $-7$ is not greater than $-1.4$ . For II. $-6$ , we see that $-6$ is not greater than $-1.4$ . For III. $6$ , we see that $6$ is greater than $-1.4$ .
Identify Solution: Based on the checks in Step $3$ , only the value III ( $6$ ) is a solution to the inequality 5x + 2 > -5.