Which of the following values are solutions to the inequality -10 < -7+5x ? I. 4 II. 6 III. 5 None I only II only III only I and II I and III II and III I, II and III

Solve for x: Solve the inequality for x. Start with the inequality -10 -3/5.Test values: Test each value to see if it satisfies the inequality x > -3/5. First, test value I, which is 4. Check if 4 > -3/5. Since 4 is greater than -3/5, value I is a solution.Determine correct choice: Test value II, which is 6. Check if 6 > -3/5. Since 6 is greater than -3/5, value II is also a solution.Test value III, which is 5. Check if 5 > -3/5. Since 5 is greater than -3/5, value III is also a solution.Determine which of the given choices matches the solutions found. Values I (4), II (6), and III (5) are all solutions to the inequality x > -3/5. The correct choice is ＂I, II and III＂.

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Which of the following values are solutions to the inequality
-10 < -7+5x ?
I. 4
II. 6
III. 5
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 -10<-7+5 x ? $\newline$ I. $4$ $\newline$ II. $6$ $\newline$ III. $5$ $\newline$ 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

Grade 8

Solutions to inequalities

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

-10<-7+5 x

\newline

4

\newline

II.

6

\newline

III.

5

\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

Solve for x: Solve the inequality for x. $\newline$ Start with the inequality -10 < -7 + 5x. $\newline$ Add $7$ to both sides to isolate the term with $x$ on one side. $\newline$ -10 + 7 < 5x $\newline$ -3 < 5x $\newline$ Now, divide both sides by $5$ to solve for $x$ . $\newline$ -\frac{3}{5} < x $\newline$ This simplifies to x > -\frac{3}{5}.
Test values: Test each value to see if it satisfies the inequality x > -\frac{3}{5}. $\newline$ First, test value I, which is $4$ . $\newline$ Check if 4 > -\frac{3}{5}. $\newline$ Since $4$ is greater than $-\frac{3}{5}$ , value I is a solution.
Determine correct choice: Test value $II$ , which is $6$ . Check if 6 > -\frac{3}{5}. Since $6$ is greater than $-\frac{3}{5}$ , value $II$ is also a solution.
Determine correct choice: Test value II, which is $6$ . Check if 6 > -\frac{3}{5}. Since $6$ is greater than $-\frac{3}{5}$ , value II is also a solution.Test value III, which is $5$ . Check if 5 > -\frac{3}{5}. Since $5$ is greater than $-\frac{3}{5}$ , value III is also a solution.
Determine correct choice: Test value II, which is $6$ . Check if 6 > -\frac{3}{5}. Since $6$ is greater than $-\frac{3}{5}$ , value II is also a solution. Test value III, which is $5$ . Check if 5 > -\frac{3}{5}. Since $5$ is greater than $-\frac{3}{5}$ , value III is also a solution. Determine which of the given choices matches the solutions found. Values I ( $4$ ), II ( $6$ ), and III ( $5$ ) are all solutions to the inequality 6 > -\frac{3}{5} $1$ . The correct choice is ＂I, II and III＂.