Isolate variable term: Isolate the variable term in -7x > 10. To do this, we need to divide both sides of the inequality by -7, remembering that when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes. So, -7x / -7 < 10 / -7Perform division to solve: Perform the division to solve for x. x < -10/7Simplify the fraction: Simplify the fraction if possible. However, -10/7 is already in its simplest form, so the solution is x < -10/7.

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Math Problems

Algebra 1

Solve two-step linear inequalities

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-7x>10

Isolate variable term: Isolate the variable term in -7x > 10. To do this, we need to divide both sides of the inequality by $-7$ , remembering that when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes. So, -7x / -7 < 10 / -7
Perform division to solve: Perform the division to solve for $x$ .x < -\frac{10}{7}
Simplify the fraction: Simplify the fraction if possible. $\newline$ However, $-\frac{10}{7}$ is already in its simplest form, so the solution is x < -\frac{10}{7}.