e="3"> d) \( f(y) \geq f(x) + \nabla f(x)^T(y - x) - \frac{m}{2}\|y - x\|^2 \), for all \( x, y \in \mathbb{R}^d \)</label></li>
            </ul>
            <div class="feedback" id="feedback6"></div>
        </div>

        <div class="question">
            <p>Let \( D \subseteq \mathbb{R}^d \) be a nonempty, closed, convex set. For \( x \in \mathbb{R}^d \), the projection of \( x \) onto \( D \), denoted by \( \mathrm{proj}_D(x) \), satisfies:</p>
            <ul class="options">
                <li><l